Series Of Aggregation Operators Research Articles

A novel Aczel-Alsina triangular norm-based group decision-making approach under dual hesitant q-rung orthopair fuzzy context for parcel lockers’ location selection

For complex last mile problems, the parcel lockers play an important role in urban areas. So, selecting a suitable location is very much crucial to provide optimal service and better logistical performance. From that viewpoint, a multicriteria group decision making method is developed in this article using dual hesitant q-rung orthopair fuzzy (DHq-ROF) set which is more effective than existing variations of fuzzy sets. The Aczel-Alsina (AA) class of t-conorms and t-norms (AAt-CNs&t-Ns) emerged as an important class of union and intersection operations due to its greater flexibility in the information fusion process. To take advantage of the benefits of AAt-CNs&t-Ns and hybrid aggregation operators in DHq-ROF environments, several fundamental operations based on AAt-CNs&t-Ns are first defined. Following the introduction of these stated operations, a series of aggregation operators, viz., DHq-ROF AA weighted averaging, ordered weighted averaging, hybrid averaging and their geometric versions with DHq-ROF information, has been proposed. Based on these operators, a creative approach to handle multi-attribute group decision-making problems has been framed. The parcel lockers’ location selection problem is estimated to validate the created strategy and show its applicability and efficacy. The achieved results establish that the post office is the best location for locating parcel lockers.

Pythagorean fuzzy Schweizer and Sklar power aggregation operators for solving multi-attribute decision-making problems

The objective of this paper is to develop Pythagorean fuzzy (PF) aggregation operators, utilizing the concept of power aggregation operators through Schweizer and Sklar (SS) operations. A series of aggregation operators, viz., PF SS power average operator, PF SS power weighted average operator, PF SS power geometric operator, and PF SS power weighted geometric operator under PF environment is proposed in this paper. The developed operators possess the capacity to make information aggregation technique more flexible than other existing operators due to the presence of SS t-norms and t-conorms in PF environment. Also, for the appearance of power aggregation operator, the developed operators contain the capability to eliminate effects of unreasonable data from biased decision makers by considering interrelationships among the fused arguments. Several properties of the proposed operators are studied and a method for solving multi-attribute decision-making problems under PF context is developed. To illustrate the proposed method and to show its efficiency, an example, studied previously, is solved and compared with existing methods.

Triangular hesitant fuzzy preference relations and their applications in multi-criteria group decision-making

In this paper, we present a novel multi-criteria decision-making (MCDM) methodology for assessing several alternatives under the triangular hesitant fuzzy environment. A scientific evaluation and prioritization approach is proposed by solving the MCDM problems with triangular hesitant fuzzy preference relations (THFPRs). Firstly, the concepts of THFPRs are defined, and a series of aggregation operators is introduced and their corresponding properties are discussed. Then, we define the consistency of the THFPRs and propose two methods to measure consistency. Furthermore, we construct an MCDM model using THFPR (MCDM-THFPR) to help decision makers assess and prioritise alternatives in the decision making process. Lastly, the validity and feasibility of the proposed MCDM-THFPR method for the MCDM are verified by a comparison with two previous approaches, along with certain discussions.

Medical Tourism Destinations Prioritization using Group Decision Making Method with Neutrosophic Fuzzy Preference Relations

Medical tourism has developed rapidly worldwide, especially in Asia, and one of the most important problems facing the patient-tourists is the selection of the optimum destination. In this paper, we present a novel multiple criteria group decision making (MCGDM) methodology to evaluate and rank the medical tourism destinations vague based on vague information. A systematic assessment and selection model was constructed by investigating MCGDM problems with neutrosophic fuzzy preference relations (NFPRs). We began by defining NFPRs which allow the patient-tourists lacking information, time or patience, to express their uncertainty and hesitancy about the given preference values. The additive consistency and acceptable consistency for NFPRs were then proposed. Furthermore, the approach to improve the consistency for NFPRs was also validated and a series of aggregation operators were developed. In addition, we presented a systematic MCGDM method using NFPRs (MCGDM-NFPRs) in this paper to rank the medical tourism destinations. Then our proposed approach was applied to two cases considering different kinds of original data to prioritize medical tourism places. Finally, the applicability and feasibility of proposed approach were verified by the comparison with other previous methods, along with some analyses and a comprehensive discussion

Generalized interaction aggregation operators in intuitionistic fuzzy multiplicative preference environment and their application to multicriteria decision-making

The main objective of this manuscript is to present a new preference relation called the intuitionistic fuzzy multiplicative preference relation. Under this, some series of new aggregation operators, by overcoming the shortcomings of some existing operators, have been defined. As most of the aggregation operators have been constructed under the intuitionistic fuzzy preference relation which deals with the conditions that the attribute values grades are symmetrical and uniformly distributed. In this manuscript, these assumptions have been relaxed by distributing the attribute grades to be asymmetrical around 1 and hence under it, some series of aggregation operators, namely intuitionistic fuzzy multiplicative interactive weighted, ordered weighted and hybrid weighted averaging operators have been proposed. Various desirable properties of these operators have also been discussed in details. A group decision-making method has been presented, based on the proposed operators, for ranking the different alternatives. A real example is taken to demonstrate the applicability and validity of the proposed methodology.

Group Decision Making Under Interval-Valued Multiplicative Intuitionistic Fuzzy Environment Based on Archimedean t-Conorm and t-Norm

The main focus of this paper is to investigate group decision-making GDM method under interval-valued multiplicative intuitionistic fuzzy environment based on Archimedean t-conorm and t-norm. First of all, some operations laws are proposed for interval-valued multiplicative intuitionistic fuzzy elements, which is an extension of multiplicative intuitionistic fuzzy operations developed earlier by other scholars. The effectiveness of these proposed operations is illustrated with some numerical examples. Then, a series of aggregation operators are proposed and the desirable properties are also studied. This paper reveals that some existing multiplicative intuitionistic fuzzy and interval-valued multiplicative intuitionistic fuzzy aggregation operators are the special cases of the operators proposed in this paper. Finally, a GDM method based on proposed operators under interval-valued multiplicative intuitionistic fuzzy environment is proposed, and a real case about annual evaluation for personnel of Zhejiang University of Finance and Economics is presented to illustrate the effectiveness of the proposed method.

Hesitant fuzzy linguistic information aggregation in decision making

As a generalisation of fuzzy linguistic set (FLS), a hesitant fuzzy linguistic term set (HFLTS) is introduced to provide a linguistic and computational basis to increase the richness of linguistic elicitation based on the fuzzy linguistic approach and the use of context-free grammars by using comparative terms. And the HFLTS is a very useful tool to deal with fuzzy linguistic uncertainty, which can be accurately and perfectly described in terms of the opinions of experts. The aim of this paper is to develop a series of aggregation operators for hesitant fuzzy linguistic information. We first discuss the relationship between FLS and HFLTS, based on which we develop some operations for hesitant fuzzy linguistic elements. The correlations among the aggregation operators are further discussed. Based on the developed operators, we introduce a method for decision making with hesitant fuzzy linguistic information. Finally, we give their application in decision making problems.

Aggregation and decision making using intuitionistic multiplicative triangular fuzzy information

The intuitionistic triangular fuzzy set is a generalization of the intuitionistic fuzzy set. In practical applications, we find that the results derived by using the traditional intuitionistic triangular fuzzy aggregation operators based on intuitionistic triangular fuzzy sets are sometimes inconsistent with intuition. To overcome this issue, based on the [1/9, 9] scale, we define the concepts of intuitionistic multiplicative triangular fuzzy set and intuitionistic multiplicative triangular fuzzy number, and then we discuss their operational laws and some desirable properties. Based on the operational laws, we develop a series of aggregation operators for intuitionistic multiplicative triangular fuzzy information, and then apply them to propose an approach to multi-attribute decision making under intuitionistic fuzzy environments. Finally, we use a practical example involving the evaluation of investment alternatives of an investment company to demonstrate our aggregation operators and decision making approach.

Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making

Hesitancy is the most common problem in decision making, for which hesitant fuzzy set can be considered as a suitable means allowing several possible degrees for an element to a set. In this paper, we study the aggregation of the hesitancy fuzzy information. Several series of aggregation operators are proposed and the connections of them are discussed. To reflect the correlation of the aggregation arguments, two methods are proposed to determine the aggregation weight vectors. Based on the support degrees among aggregation arguments, the weight vector of decision makers are obtained more objectively. To deal with the correlation of criteria, we apply the Choquet integral to get the weights of criteria. A method is also proposed for group decision making under hesitant fuzzy environment.