Interval-valued Intuitionistic Fuzzy Numbers Research Articles

Interval-valued intuitionistic fuzzy three-way conflict analysis based on cumulative prospect theory

This paper makes a significant contribution to the field of conflict analysis by introducing a novel Interval-Valued Intuitionistic Fuzzy Three-Way Conflict Analysis (IVIFTWCA) method, which is anchored in cumulative prospect theory. The method’s key innovation lies in its use of interval-valued intuitionistic fuzzy numbers to represent an agent’s stance, addressing the psychological dimensions and risk tendencies of decision-makers that have been largely overlooked in previous studies. The IVIFTWCA method categorizes conflict situations into affirmative, impartial, and adverse coalitions, leveraging the evaluation of the closeness function and predefined thresholds. It incorporates a reference point, value functions and cumulative weight functions to assess risk preferences, leading to the formulation of precise decision rules and thresholds. The method’s efficacy and applicability are demonstrated through detailed examples and comparative analysis, and its exceptional performance is confirmed through a series of experiments, offering a robust framework for real-world decision-making in conflict situations.

An Interval-Valued Intuitionistic Fuzzy Bow-Tie Model (IVIF-BT) for the Effectiveness Evaluation of Safety Barriers in Natural Gas Storage Tank

Safety barriers (SBs) are important means of reducing failure risks of process systems. As barriers vary in type and function, their effectiveness needs to be evaluated in order to find a more reasonable configuration strategy. However, in practice, there is often a lack of accurate and complete data relating to SBs, which poses a significant challenge in quantitatively assessing their effectiveness. To address this issue, in this study, we propose a semi-quantitative approach for evaluating the effectiveness of both preventive and protective barriers in process systems by integrating expert elicitation, interval-valued intuitionistic fuzzy numbers (IVIFNs), and a bow-tie model. In this approach, the bow-tie model is first applied to describe the system failure scenarios and the action phases of the barriers, and then IVIFNs with expert judgment are introduced to obtain the failure probabilities of basic events and the effects of SBs. Subsequently, the effectiveness of each barrier is measured by comparing the relative change in failure risk due to the addition of the barrier. To verify the feasibility of this approach, a natural gas storage tank with some barriers was analyzed. The results show that the regular inspection of the deformation or damage of the storage tank has the highest effectiveness, followed by the installation and regular maintenance of safety electrical equipment. Furthermore, compared to a single barrier, multiple barriers can significantly reduce the system risk.

Enhanced LogTODIM-TOPSIS framework for interval-valued intuitionistic fuzzy MAGDM and applications to intangible assets operational management performance evaluation of commercial sporting events

The effective operation of intangible assets in commercial sports events can bring long-term, sustainable, and large-scale economic benefits to sports events. However, currently, in the operation of commercial sports events, the lack of experience in hosting events often hinders the development of intangible assets that should have created higher profits, and cannot achieve the expected value. The intangible assets operational management performance (IAOMP) evaluation of commercial sporting events is the multiple-attribute group decision-making (MAGDM). The Logarithmic TODIM (LogTODIM) and TOPSIS technique was brought forward the MAGDM. The interval-valued intuitionistic fuzzy sets (IVIFSs) are brought forward as the useful technique for coping with uncertain and fuzzy information during the IAOMP evaluation of commercial sporting events. In this study, the interval-valued intuitionistic fuzzy number Logarithmic TODIM-TOPSIS (IVIFN-LogTODIM-TOPSIS) technique is brought forward the MAGDM under IVIFSs circumstances. Finally, the numerical example for IAOMP evaluation of commercial sporting events is brought forward to verify the IVIFN-LogTODIM-TOPSIS technique. The main contribution of this study is brought forward: (1) the LogTODIM-TOPSIS was extended to IVIFSs in light with MEREC model; (2) the MEREC model is brought forward to derive weight in light with score information values under IVIFSs circumstances. (3) the IVIFN-LogTODIM-TOPSIS is brought forward for MAGDM under IVIFSs circumstances; (4) the numerical example for IAOMP evaluation of commercial sporting events and several different comparative analysis is brought forward to verify the IVIFN-LogTODIM-TOPSIS model.

Extension of Interaction Geometric Aggregation Operator for Material Selection Using Interval-Valued Intuitionistic Fuzzy Hypersoft Set

A recently emerged area of research named intuitionistic fuzzy hypersoft set (IFHSS) attempts to describe the internal limitations of intuitionistic fuzzy soft sets on multiparameter functions. A computation of such a type connects a power set of the universe with a tuple of sub-parameters. The strategy shows the allocation of attributes to their respective sub-attribute values in distinct groupings. The above features make it a unique methodical tool for handling obstacles of hesitation. The aggregation operators have an important role in the assessment of both types of potential and in identifying problems from their assessment. This research extends the use of the interaction aggregation operator to the interval-valued intuitionistic fuzzy hypersoft set (IVIFHSS), which is an entirely new structure generated through the interval-valued intuitionistic fuzzy soft set (IVIFSS). The IVIFHSS significantly condenses information that is inaccurate and imprecise compared to the frequently utilized IFSS and IVIFSS. Fuzzy reasoning is recognized as the prevalent strategy for improving imperfect data in decision-making processes. The core objective of the research is to develop operational rules for interval-valued intuitionistic fuzzy hypersoft numbers (IVIFHSNs), which promote interactions. This research is designed to broaden the utilization of the interaction geometric aggregation operator in the framework of IVIFHSS. In particular, we propose a novel operator known as the Interval-Valued Intuitionistic Fuzzy Hypersoft Interactive Weighted Geometric (IVIFHSIWG) operator. The aggregation operator indicates industry professional support for the implementation of a robust MCGDM material selection technique in order to address this need. The practical application of the intended MCGDM technique has been introduced in selecting materials (MS) for cryogenic storage containers. The influence advocates that the anticipated model is more operational and stable in demonstrating anxious facts based on IVIFHSS.

A Hybrid Approach for the Supply Chain Risk Assessment of the Construction Industry During the COVID-19 Pandemic

COVID-19 is an epidemic threat to human health caused by a novel coronavirus. Different countries are still struggling with whether to extend lockdown policies considering economic recession outcomes or lift the lockdown and recover the fragile economy. This research narrows the knowledge gap by applying a decision-making approach in a fuzzy environment to consider the uncertainties in the supply chain risk assessment of the construction industry during the COVID-19 pandemic. Besides, risk factors (RFs) are identified and interrelationships between RFs are depicted. RFs are categorized using expert panel surveys and literature reviews. The interdependencies between different RFs are evaluated using a combination of interval-valued intuitionistic fuzzy numbers, decision making trial and evaluation laboratory, and the Choquet integral to allow a strong interrelationship between the sum of rows and the sum of columns of RFs in structural correlation analysis. Next, priorities of RFs are obtained by considering interdependencies between different RFs using a combination of the technique for order preference by similarity to the ideal solution (TOPSIS) method with the intuitionistic fuzzy set. An intuitionistic fuzzy weighted average operator is utilized to aggregate individual opinions of decision makers for rating the importance of RFs. Results reported that the scarcity of material and financial resources due to movement restrictions with overall weights of 0.0614 and 0.413 are the most prominent RFs in the supply chain due to the COVID-19 pandemic. The results of this research can assist decision-makers in developing strategic policies to prevail over the risk challenges and subsequently aid experts in redesigning supply chains.

A novel similarity measure based on new accuracy function on interval-valued intuitionistic fuzzy number and its application to multicriteria decision-making problem

A novel similarity measure based on new accuracy function on interval-valued intuitionistic fuzzy number and its application to multicriteria decision-making problem

Protecting Infrastructure Networks: Solving the Stackelberg Game with Interval-Valued Intuitionistic Fuzzy Number Payoffs

Critical infrastructure is essential for the stability and development of modern society, and a combination of complex network theory and game theory has become a new research direction in the field of infrastructure protection. However, existing studies do not consider the fuzziness and subjective factors of human judgment, leading to challenges when analyzing strategic interactions between decision makers. This paper employs interval-valued intuitionistic fuzzy numbers (IVIFN) to depict the uncertain payoffs in a Stackelberg game of infrastructure networks and then proposes an algorithm to solve it. First, we construct IVIFN payoffs by considering the different complex network metrics and subjective preferences of decision makers. Next, we propose a lexicographic algorithm to solve this game based on the concept of a strong Stackelberg equilibrium (SSE). Finally, we conduct experiments on target scale-free networks. Our results illustrate that in an SSE, for the defender in a weak position, it is better to defend nodes with high degrees. The experiments also indicate that taking fuzziness into account leads to higher SSE payoffs for the defender. Our work aims to solve a Stackelberg game with IVIFN payoffs and apply it to enhance the protection of infrastructure networks, thereby improving their overall security.

An interval-valued intuitionistic fuzzy group decision-making method for evaluating online knowledge payment products

Increased demand for knowledge, evolving consumer attitudes, and the convenient online transaction opportunities provided by Internet technology have led to the rapid rise and growth of online knowledge payment. At present, studies on the online knowledge payment industry mainly focus on exploring the influencing factors of users' willingness to pay for online knowledge payment products (OKPPs), and there are fewer studies on the evaluation and rating methods of OKPPs. To address this problem, this paper proposes an improved group decision-making method based on consensus adjustment and prospect theory to realize the evaluation of OKPPs from the perspective of consumer experience value. The method uses interval-valued intuitionistic fuzzy numbers to process evaluation information, selects leading users (LUs) as decision makers, and identifies four evaluation criteria based on consumer experience value, which are functional value, self-fulfillment value, hedonic value, and emotional value. The proposed group decision-making method in this paper takes into account the consensus problem of LUs’ opinions, proposes a consensus adjustment method, and uses prospect theory to incorporate the psychological factors of LUs into the group decision-making process. Finally, the effectiveness and advantages of the method proposed in this paper are verified using an example and a comparison with existing methods. This research will provide methodological reference for knowledge payment platforms (KPPs) to select high quality OKPPs, and will also urge knowledge producers (KPs) to create OKPPs that can bring higher experience value to knowledge consumers (KCs). At the same time, this research makes possible the co-creation of knowledge between KPs and KCs, and enriches and develops the relevant research on the online knowledge payment industry.

On basic arithmetic operations for interval-valued intuitionistic fuzzy sets using the Hamming distance with their application in decision making

Atanassov’s intuitionistic fuzzy sets play a vital role in handling vagueness and uncertainty successfully as they associate an additional non-membership degree to each element of the universal set. Interval-valued intuitionistic fuzzy (IVIF) sets are more generalized quantities in this direction as they use intervals (⊂[0,1]) to define the membership and non-membership grades of each element of the set. However, without defining basic arithmetic operations on the IVIF values/sets, the study is incomplete. This paper broadly examines the division and subtraction operations over any arbitrary IVIF values/sets using the concept of Hamming distance between them. A deterministic linear optimization model is proposed and solved in order to obtain the complete expressions for these operations. Next, various fundamental properties and relationships are examined and proved for the proposed arithmetic operations over IVIF values/sets. Furthermore, an example of a multi-criteria decision-making problem under uncertain conditions is studied and analyzed using the developed arithmetic operations on IVIF numbers.

A novel cross-entropy framework for pattern design quality evaluation based on interval-valued intuitionistic fuzzy multi-attribute decision making

Paper packaging is favored by manufacturers in various industries due to its advantages such as economy and environmental friendliness, and the application of paper packaging in various types of products is also becoming increasingly popular. However, with the growth of the national economy and the increasing purchasing power of the people, consumers not only have higher requirements for the functionality of products, but also have higher requirements for the visual effect of product packaging. Based on the potential consumption trend of “looking for things”, enterprises need to further strengthen the artistic design effect when using paper packaging, promoting the unity of practicality and aesthetics of paper packaging. Pattern design art, as a component of graphic design art, is mainly based on pattern modeling to convey artistic concepts and aesthetic temperament. Integrating pattern design art into the process of paper packaging design can effectively enhance the artistic value of paper packaging, thereby adding color to products. The pattern design quality evaluation is a classical multi-attribute decision making (MADM). In this paper, the MADM methodology is investigated based on cross-entropy (CE) method under interval-valued intuitionistic fuzzy sets (IVIFSs) for pattern design quality evaluation. First of all, this paper extends the CE method under the IVIFSs to propose the interval-valued intuitionistic fuzzy number cross-entropy (IVIFN-CE) method, it enlarges the application range of the CE method. Secondly, a new MADM model for pattern design quality evaluation based on IVIFN-CE algorithm is proposed. In this algorithm, attribute weight is calculated by CRITIC method which is a well-known objective method. At the end of this study, we noticed to a comparison between the proposed IVIFN-CE approach with other existing methods to verify the effectiveness of the algorithm.

An integrated cross entropy methodology for planning scheme evaluation of highway transportation hub with interval-valued intuitionistic fuzzy information

After entering the 21st century, China’s national economy has shown a rapid growth momentum, the comprehensive transportation system has been continuously improved, the road traffic infrastructure has made remarkable achievements, and the modern logistics industry has also risen rapidly and grown rapidly, which has greatly changed the market demand for road transport hubs. The road transport hub is the main node of the road transport network, the hub of passenger and freight distribution of road transport, and the organizational center for the interconnection of road transport and other transport modes and the development of comprehensive transport. Highway transportation hub is an important part of highway transportation infrastructure and plays an important role in highway transportation. The planning scheme evaluation of highway transportation hub is a multi-attribute decision making (MADM). This paper intends to propose a MADM methodology based on cross-entropy (CE) method under interval-valued intuitionistic fuzzy sets (IVIFSs) for planning scheme evaluation of highway transportation hub. First of all, this paper extends the cross entropy method under the IVIFSs to propose the interval-valued intuitionistic fuzzy number CE(IVIFN-CE) method, it enlarges the application range of the CE method. Secondly, a new MADM model for planning scheme evaluation of highway transportation hub based on IVIFN-CE algorithm is proposed.

Risk assessment of occupational safety in construction projects using uncertain information

Uncertainties are always involved in construction projects, and most on-site assessments rely on qualitative data to determine the level of risk to which workers are exposed. Furthermore, the majority of legal documents for companies and statistical data are inadequate for risk analysis. This aspect enhances the uncertainty of the worksite circumstances. This research aims to propose a novel approach in a fuzzy environment to consider the uncertainties and interdependencies for the risk assessment of occupational safety in construction projects. Occupational safety risk factors (OSRFs) are identified using an expert panel. An extended decision-making trial and evaluation laboratory (DEMATEL) with interval-valued intuitionistic fuzzy numbers is integrated with the Choquet integral to obtain robust interdependencies between OSRFs. Then, the extended technique for order preference by similarity to the ideal solution (TOPSIS) method with the intuitionistic fuzzy set (IFs) is applied to obtain the priorities of OSRFs. Moreover, an intuitionistic fuzzy weighted average (IFWA) operator is employed to integrate the individual judgments of experts for ranking the degree of importance of OSRFs. Eventually, the sensitivity analysis is conducted and the robustness and validity of results from the suggested approach are verified.

A Novel Weighted Averaging Operator of Linguistic Interval-Valued Intuitionistic Fuzzy Numbers for Cognitively Inspired Decision-Making

An aggregation operator of linguistic interval-valued intuitionistic fuzzy numbers (LIVIFNs) is an important tool for solving cognitively inspired decision-making problems with LIVIFNs. So far, many aggregation operators of LIVIFNs have been presented. Each of these operators works well in its specific context. But they are not always monotone because their operational rules are not always invariant and persistent. Dempster-Shafer evidence theory, a general framework for modelling epistemic uncertainty, was found to provide the capability for operational rules of fuzzy numbers to overcome these limitations. In this paper, a weighted averaging operator of LIVIFNs based on Dempster-Shafer evidence theory for cognitively inspired decision-making is proposed. Firstly, Dempster-Shafer evidence theory is introduced into linguistic interval-valued intuitionistic fuzzy environment and a definition of LIVIFNs under this theory is given. Based on this, four novel operational rules of LIVIFNs are developed and proved to be always invariant and persistent. Using the developed operational rules, a new weighted averaging operator of LIVIFNs is constructed and proved to be always monotone. Based on the constructed operator, a method for solving cognitively inspired decision-making problems with LIVIFNs is presented. The application of the presented method is illustrated via a numerical example. The effectiveness and advantage of the method are demonstrated via quantitative comparisons with several existing methods. For the numerical example, the best alternative determined by the presented method is exactly the same as that determined by other comparison methods. For some specific problems, only the presented method can generate intuitive ranking results. The demonstration results suggest that the presented method is effective in solving cognitively inspired decision-making problems with LIVIFNs. Furthermore, the method will not produce counterintuitive ranking results since its operational rules are always invariant and persistent and its aggregation operator is always monotone.

Complex interval-valued intuitionistic fuzzy decision support system with application to COVID-19 healthcare facilities

The complex interval-valued intuitionistic fuzzy set (CIIFS), as an extension of the complex intuitionistic fuzzy set (CIFS), is one of the better tools for dealing with time-periodic information in a single set of two-dimensional information. So, this paper makes some new operators based on Aczel-Alsina’s t-norm and t-conorm in the CIIFS environment. First, some Aczel-Alsina t-norm and t-conorm operational laws are defined for complex interval-valued intuitionistic fuzzy numbers (CIIFNs). Then, using the proposed operational laws, Aczel-Alsina The operators Complex interval-valued intuitionistic Aczel-Alsina weighted average (CIIFAAWA), Complex interval-valued intuitionistic Aczel-Alsina weighted geometric (CIIFAAWG), Complex interval-valued intuitionistic Aczel-Alsina ordered weighted average (CIIFAAOWA), and Complex interval-valued intuitionistic Aczel-Alsina ordered weighted geometric (CIIFAAOWG) are developed. Further, some properties of the proposed operators are discussed and investigated in detail. A group decision-making method is also suggested based on developed operators in the CIIFS environment. The proposed operators are more adaptable and give more accurate results than existing ones. Furthermore, a multi-criteria decision-making technique is developed based on the proposed operators. A decision-making problem for healthcare facilities in public hospitals is provided to demonstrate the benefits and applicability of the proposed method. Finally, a comparative study is also investigated using the existing methods.

A novel FMEA approach for submarine pipeline risk analysis based on IVIFRN and ExpTODIM-PROMETHEE-II

The failure mode and effects analysis (FMEA) approach based on TODIM has been widely applied in risk analysis in several fields. To fill the gap in relevant research in the field of submarine pipeline risk analysis and to address possible problems in the classical TODIM method, a novel FMEA model is proposed in this paper. Firstly, an improvement to the existing interval-valued intuitionistic fuzzy rough number (IVIFRN) theory is made and used to collect expert opinions better to consider individual and group uncertainty. Secondly, ExpTODIM, which is more in line with prospect theory, is combined with the PROMETHEE-II method. And it also incorporates weight calculation methods such as the maximizing deviation method for ranking failure modes. Thirdly, the exponential entropy weight method based on the improved IVIFRN theory is combined with the analytical hierarchical process (AHP) for application in fuzzy comprehensive evaluation to complete the calculation of risk values. Fourthly, the proposed novel FMEA approach is applied to the risk analysis of the submarine pipeline to obtain its failure mode ranking and risk value results. Comparisons with other methods in concept and example analysis show that the proposed method is relatively reliable and has certain advantages over other current FMEA methods based on MCDM. In particular, the proposed method overcomes the theoretical problems of the classical TODIM and is more consistent with logic. It also improves the accuracy and comprehensiveness of analysis results, which can provide a valid and accurate reference for the practical engineering of submarine pipelines.

Alleviating Energy Poverty through Renewable Energy Technology: An Investigation Using a Best-Worst Method-Based Quality Function Deployment Approach with Interval-Valued Intuitionistic Fuzzy Numbers

Renewable energy technology is suitable for reducing energy consumption and emissions, and the corresponding impact on energy poverty has aroused tremendous attention. This paper proposed the best-worst method- (BWM-) based quality function deployment (QFD) approach within interval-valued intuitionistic fuzzy number (IVIFN) to select the appropriate renewable energy technology for energy poverty alleviation. QFD is firstly used to explore the relationship between energy poverty reduction requirements (CRs), renewable energy technology selection criteria (TRs), and correlation among TRs. Interval-valued intuitionistic fuzzy (IVIF) BWM is then applied for obtaining the correlation among CRs. After that, the IVIF-QFD method is used to attain the weight of TRs, which are then used to evaluate the renewable energy technology alternatives through IVIF-VIKOR approach. The six representative renewable energy technologies, including wind energy, solar energy, biomass (direct combustion, combined heat and power, and gasification), and hydropower have been selected in the decision model, and the result shows that the large-scale hydropower could be selected as the best choice to reduce the energy poverty issues, whose interval numbers is [0, 0.2925]. Except for prioritization of the selected technologies, findings of this paper could also contribute to developing sustainable renewable energy policies and energy roadmaps.

An integrated Method for Evaluating the Energy-Saving and Emission Reduction of Thermal Power Plants with Interval-Valued Intuitionistic Fuzzy Numbers

With the continuous development of the domestic economy, the demand for electricity is also increasing, and the number of power plants is also increasing. Thermal power plants have become the main source of power generation in my country. According to statistics, thermal power generation accounts for more than half of the country's power generation. In the process of thermal power generation, it is also accompanied by a large amount of exhaust gas and pollutant emissions. The emission of sulfur dioxide (sulfur dioxide) from thermal power plants accounts for about half of the total national emissions, and the emissions of greenhouse gases such as carbon dioxide and nitrogen oxides also account for more than 30% of the total national emissions. and clean emissions have become an important task. Before energy conservation and emission reduction of thermal power plants, it is necessary to find out the current situation of thermal power plants and to find out the current energy conservation and emission reduction effects of thermal power plants. row for evaluation. The problems of evaluating the energy-saving and emission reduction of thermal power plants are classical multiple attribute decision making (MADM) problems. In this paper, firstly the definition of interval-valued intuitionistic fuzzy sets (IVIFSs), Heronian mean (HM) operator, Dombi operations are introduced and the interval-valued intuitionistic fuzzy Dombi power Heronian mean (IVIFDPHM) operator is proposed. Some desirable properties of this operator are established, such as commutativity, idempotency and monotonicity. Then, the IVIFDPHM operator is used to deal with the interval-valued intuitionistic fuzzy (IVIF) multiple attribute decision making (IVIF-MADM) problems. Finally, an illustrative example for evaluating the energy-saving and emission reduction of thermal power plants is given to verify the built approach.

De-i-fuzzification of linear interval-valued intuitionistic fuzzy number and its application in operation research arena

In this article, we have envisaged the linear interval valued intuitionistic fuzzy number (IVIFN) from various viewpoints. We have introduced the technique of ranking by using the concept of distance measure of linear interval valued intuitionistic fuzzy number. Additionally, the concept of de-i-fuzzification is introduced here using two disjunctive logical approaches and its result is explained in this article which will help us converting a linear interval valued intuitionistic fuzzy number into a crisp number. Lastly, the validation of the model is observed by using two different real life problems firstly, in inventory control and secondly, in transportation arena. The paper suggests two different methods of de-intuitification in linear interval valued intuitionistic fuzzy domain and the comparison between the two methods by using a suitable algorithm has been observed in above real life scenarios that connects all invented results.

An integrated method for evaluating the energy-saving and economic operation of power systems with interval-valued intuitionistic fuzzy numbers

Chinese population is numerous. Energy resources are limited. The ownership of per capita resource is far lower than the world average level. China is in the process of industrialization and urbanization, but energy resources are consumed and environmental pollution is serious. The energy crisis and environmental protection has restricted our country economy development and social harmony. As a source of energy consumption and environmental pollution, power industry is one of the important fields of energy saving and emission reduction. The reasonable power dispatch is the breakthrough to reduce the energy consumption and environmental pollution. In this paper, we first introduce some operations on interval-valued intuitionistic fuzzy sets, such as Heronian mean (HM) operator and Dombi operations, etc., and further develop the induced interval-valued intuitionistic fuzzy Dombi weighted Heronian mean (I-IVIFDWHM) operator. We also establish some desirable properties of this operator, such as commutativity, idempotency and monotonicity. Then, we apply the I-IVIFDWHM operator to deal with the interval-valued intuitionistic fuzzy multiple attribute decision making (MADM) problems. Finally, an illustrative example for evaluating the energy-saving and economic operation of power systems is given to verify the developed approach.

A New Model of Interval-Valued Intuitionistic Fuzzy Weighted Operators and Their Application in Dynamic Fusion Target Threat Assessment.

Existing missile defense target threat assessment methods ignore the target timing and battlefield changes, leading to low assessment accuracy. In order to overcome this problem, a dynamic multi-time fusion target threat assessment method is proposed. In this method, a new interval valued intuitionistic fuzzy weighted averaging operator is proposed to effectively aggregate multi-source uncertain information; an interval-valued intuitionistic fuzzy entropy based on a cosine function (IVIFECF) is designed to determine the target attribute weight; an improved interval-valued intuitionistic fuzzy number distance measurement model is constructed to improve the discrimination of assessment results. Specifically, first of all, we define new interval-valued intuitionistic fuzzy operation rules based on algebraic operations. We use these rules to provide a new model of interval-valued intuitionistic fuzzy weighted arithmetic averaging (IVIFWAA) and geometric averaging (IVIFWGA) operators, and prove a number of algebraic properties of these operators. Then, considering the subjective and objective weights of the incoming target, a comprehensive weight model of target attributes based on IVIFECF is proposed, and the Poisson distribution method is used to solve the time series weights to process multi-time situation information. On this basis, the IVIFWAA and IVIFWGA operators are used to aggregate the decision information from multiple times and multiple decision makers. Finally, based on the improved TOPSIS method, the interval-valued intuitionistic fuzzy numbers are ordered, and the weighted multi-time fusion target threat assessment result is obtained. Simulation results of comparison show that the proposed method can effectively improve the reliability and accuracy of target threat assessment in missile defense.