Uncertain Linguistic Variables Research Articles

Some geometric aggregation operators based on interval intuitionistic uncertain linguistic variables and their application to group decision making

With respect to multiple attribute group decision making (MAGDM) problems in which both the attribute weights and the expert weights take the form of crisp numbers, and attribute values take the form of interval-valued intuitionistic uncertain linguistic variables, some new group decision making analysis methods are developed. Firstly, some operational laws, expected value and accuracy function of interval-valued intuitionistic uncertain linguistic variables are introduced. Then, an interval-valued intuitionistic uncertain linguistic weighted geometric average (IVIULWGA) operator and an interval-valued intuitionistic uncertain linguistic ordered weighted geometric (IVIULOWG) operator have been developed. Furthermore, some desirable properties of the IVIULWGA operator and the IVIULOWG operator, such as commutativity, idempotency and monotonicity, have been studied, and an interval-valued intuitionistic uncertain linguistic hybrid geometric (IVIULHG) operator which generalizes both the IVIULWGA operator and the IVIULOWG operator, was developed. Based on these operators, an approach to multiple attribute group decision making with interval-valued intuitionistic uncertain linguistic information has been proposed. Finally, an illustrative example is given to verify the developed approaches and to demonstrate their practicality and effectiveness.

Research on Digital Reference Service in the Library in Uncertain Linguistic Environment

In this paper, we investigate the multiple attribute group decision making (MAGDM) problems for evaluating the digital reference service in the library with uncertain linguistic information. We utilize the uncertain linguistic weighted averaging (ULWA) operator and uncertain linguistic hybrid aggregation (ULHA) operator to aggregate the uncertain linguistic information corresponding to each alternative and get the overall value of the digital reference service in the library, then rank the ecommerce websites and select the most desirable one(s) by using the formula of the degree of possibility for the comparison between two uncertain linguistic variables. Finally, an illustrative example for evaluating digital reference service in the library is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making

With respect to multiple attribute group decision making (MAGDM) problems in which the attribute weights and the expert weights take the form of real numbers and the attribute values take the form of intuitionistic uncertain linguistic variables, new group decision making methods have been developed. First, operational laws, expected value definitions, score functions and accuracy functions of intuitionistic uncertain linguistic variables are introduced. Then, an intuitionistic uncertain linguistic weighted geometric average (IULWGA) operator and an intuitionistic uncertain linguistic ordered weighted geometric (IULOWG) operator are developed. Furthermore, some desirable properties of these operators, such as commutativity, idempotency, monotonicity and boundedness, have been studied, and an intuitionistic uncertain linguistic hybrid geometric (IULHG) operator, which generalizes both the IULWGA operator and the IULOWG operator, was developed. Based on these operators, two methods for multiple attribute group decision making problems with intuitionistic uncertain linguistic information have been proposed. Finally, an illustrative example is given to verify the developed approaches and demonstrate their practicality and effectiveness.

Research on the Competitiveness of China's Tourism Trade in Service with Uncertain Linguistic Information

The problem of evaluating the competitiveness of China’s tourism trade in service with uncertain linguistic information is the multiple attribute decision making (MADM) problems. In this paper, we investigate the multiple attribute decision making (MADM) problems for evaluating the competitiveness of China’s tourism trade in service with uncertain linguistic information. We utilize the interval uncertain linguistic weighted average (IULWA) operator to aggregate the uncertain linguistic information corresponding to each alternative and get the overall value of the alternatives, then rank the alternatives and select the most desirable one(s) by using the formula of the degree of possibility for the comparison between two uncertain linguistic variables. Finally, an illustrative example for competitiveness of China’s tourism trade in service with uncertain linguistic information is given.

An Approach to Evaluating the Construction Projects of Wastewater Treatment in the Paper Making Factory with Uncertain Linguistic Variables

An Approach to Evaluating the Construction Projects of Wastewater Treatment in the Paper Making Factory with Uncertain Linguistic Variables

Research on Customer Satisfaction of E-Commerce Website with Uncertain Linguistic Variables

Research on Customer Satisfaction of E-Commerce Website with Uncertain Linguistic Variables

Research on Appraisal Model of Venture Capital Investing Project Based on High-tech Outcome Transformation with Uncertain Linguistic Information

In this paper, we investigate the multiple attribute decision making (MADM) problems for appraisal model of venture capital investing project based on high-tech outcome transformation with uncertain linguistic information. We utilize the uncertain linguistic weighted geometric mean (ULWGM) operator to aggregate the uncertain linguistic information corresponding to each alternative and get the overall value of the alternatives, then rank the alternatives and select the most desirable one(s) by using the formula of the degree of possibility for the comparison between two uncertain linguistic variables. Finally an illustrative example for appraisal model of venture capital investing project based on high-tech outcome transformation with uncertain linguistic information has been given to show the developed approach and to demonstrate its feasibility and practicality.

Model for Evaluating the Technological Innovation Capability of the High-tech Enterprises with Uncertain Linguistic Variables

In this paper, we investigate the multiple attribute decision making (MADM) problems for for evaluating the technological innovation capability for the high-tech enterprises with uncertain linguistic variables. We utilize the uncertain linguistic choquet integral (ULCI) operator to aggregate the uncertain linguistic variables corresponding to each alternative and get the overall value of the alternatives, then rank the alternatives and select the most desirable one(s). Finally, an illustrative example is given.

An Extended VIKOR Method for Investment Risk Assessment of Real Estate based on the Uncertain Linguistic Variables

An Extended VIKOR Method for Investment Risk Assessment of Real Estate based on the Uncertain Linguistic Variables

OWCLCOA Operator and its Application to Comprehensive Evaluating Modeling of Brand Extension in Uncertain Linguistic Setting

With respect to multiple attribute decision making (MADM) problems in which the attribute weights take the form of real numbers, and the preference values take the form of uncertain linguistic variables, a new decision making analysis method is developed. By utilizing some operational laws of linguistic variables, we propose the ordered weighted continuous linguistic choquet ordered averaging (OWCLCOA) operator based on the continuous LOWA operator(C-LOWA) and then develop an OWCLCOA operator-based approach to comprehensive evaluating modeling of brand extension in uncertain linguistic setting. The approach is simple and don’t need the comparison between two uncertain linguistic variables. Finally, an illustrative example with comprehensive evaluating modeling of brand extension is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Research on the multi-attribute decision-making under risk with interval probability based on prospect theory and the uncertain linguistic variables

With respect to risk decision making problems with interval probability in which the attribute values take the form of the uncertain linguistic variables, a multi-attribute decision making method based on prospect theory is proposed. To begin with, the uncertain linguistic variables can be transformed into the trapezoidal fuzzy number, and the prospect value function of the trapezoidal fuzzy number based on the decision-making reference point of each attribute and the weight function of interval probability can be constructed; then the prospect value of attribute for every alternative is calculated through prospect value function of the trapezoidal fuzzy number and the weight function of interval probability, and the weighted prospect value of alternative is acquired by using weighted average method according to attribute weights, and all the alternatives are sorted according to the expected values of the weighted prospect values; Finally, an illustrate example is given to show the decision-making steps, the influence on decision making for different parameters of value function and different decision-making reference point, and the feasibility of the method.

A risk evaluation method for the high-tech project investment based on uncertain linguistic variables

There are many uncertain factors in the high-tech project investment. It is necessary to use a scientific evaluation method in the high-tech investment. This paper proposes a risk evaluation method for a high-tech project investment. Firstly, the current situation of the research of a high-tech project investment is discussed. Then an evaluation indicators system is constructed and the evaluation procedure based on an uncertain linguistic weighted C-EOWA (ULWC-EOWA) operator is illuminated. Finally, this evaluation method is used in a practical example.

An Interactive Approach to Multiple Attribute Group Decision Making with Multigranular Uncertain Linguistic Information

The multiple attribute group decision making (MAGDM) problems having multiple sources of uncertain linguistic information assessed in different linguistic label sets are investigated. The existing linguistic labels in a linguistic label set are uniformly and symmetrically distributed, but in many real-life situations, the unbalanced linguistic information appears due to the nature of the linguistic variables used in the problems (Herrera and Herrera-Viedma, Proceedings of 4th international workshop on preferences and decisions, Trento, Italy, 2003). In this paper, we first define some unbalanced linguistic label sets, and then develop some transformation functions to unify the given multigranular linguistic labels in a unique linguistic label set without loss of information. Moreover, we utilize the uncertain linguistic weighted averaging operator to aggregate all individual uncertain linguistic decision matrices into a collective one, and define two similarity measures, one for measuring the similarity degree between each pair of uncertain linguistic variables, and the other for checking the consensus degrees among the individual uncertain linguistic decision matrices and the collective uncertain linguistic decision matrix. Finally, we develop an interactive approach to MAGDM with multigranular uncertain linguistic information and illustrate the developed approach with an application example.

A method for multiple attribute decision making with incomplete weight information under uncertain linguistic environment

The multi-attribute decision making problems are studied, in which the information about the attribute values take the form of uncertain linguistic variables. The concept of deviation degree between uncertain linguistic variables is defined, and ideal point of uncertain linguistic decision making matrix is also defined. A formula of possibility degree for the comparison between uncertain linguistic variables is proposed. Based on the deviation degree and ideal point of uncertain linguistic variables, an optimization model is established, by solving the model, a simple and exact formula is derived to determine the attribute weights where the information about the attribute weights is completely unknown. For the information about the attribute weights is partly known, another optimization model is established to determine the weights, and then to aggregate the given uncertain linguistic decision information, respectively. A method based on possibility degree is given to rank the alternatives. Finally, an illustrative example is also given.

On generalized induced linguistic aggregation operators

In this paper, we define various generalized induced linguistic aggregation operators, including generalized induced linguistic ordered weighted averaging (GILOWA) operator, generalized induced linguistic ordered weighted geometric (GILOWG) operator, generalized induced uncertain linguistic ordered weighted averaging (GIULOWA) operator, generalized induced uncertain linguistic ordered weighted geometric (GIULOWG) operator, etc. Each object processed by these operators consists of three components, where the first component represents the importance degree or character of the second component, and the second component is used to induce an ordering, through the first component, over the third components which are linguistic variables (or uncertain linguistic variables) and then aggregated. It is shown that the induced linguistic ordered weighted averaging (ILOWA) operator and linguistic ordered weighted averaging (LOWA) operator are the special cases of the GILOWA operator, induced linguistic ordered weighted geometric (ILOWG) operator and linguistic ordered weighted geometric (LOWG) operator are the special cases of the GILOWG operator, the induced uncertain linguistic ordered weighted averaging (IULOWA) operator and uncertain linguistic ordered weighted averaging (ULOWA) operator are the special cases of the GIULOWA operator, and that the induced uncertain linguistic ordered weighted geometric (IULOWG) operator and uncertain LOWG operator are the special cases of the GILOWG operator.

AN APPROACH TO PURE LINGUISTIC MULTIPLE ATTRIBUTE DECISION MAKING UNDER UNCERTAINTY

The pure linguistic multiple attribute decision making problems are studied, in which the information about the attribute weights are expressed in the form of linguistic variables or uncertain linguistic variables, and the attribute values take the form of uncertain linguistic variables. The operational laws of uncertain linguistic variables are introduced, and two uncertain linguistic aggregation operators called linguistic weighted aggregation operator and uncertain linguistic weighted aggregation operator are developed based on uncertain linguistic variables and their operational laws. An approach based on the developed operators for pure linguistic multiple attribute decision making under uncertainty is proposed. The prominent characteristic of the proposed approach is that it can compute with uncertain linguistic information directly. Furthermore, the approach is straightforward and does not produce any loss of information. Finally, an illustrative example is given.

Induced uncertain linguistic OWA operators applied to group decision making

The ordered weighted averaging (OWA) operator was developed by Yager [IEEE Trans. Syst., Man, Cybernet. 18 (1998) 183]. Later, Yager and Filev [IEEE Trans. Syst., Man, Cybernet.--Part B 29 (1999) 141] introduced a more general class of OWA operators called the induced ordered weighted averaging (IOWA) operators, which take as their argument pairs, called OWA pairs, in which one component is used to induce an ordering over the second components which are exact numerical values and then aggregated. The aim of this paper is to develop some induced uncertain linguistic OWA (IULOWA) operators, in which the second components are uncertain linguistic variables. Some desirable properties of the IULOWA operators are studied, and then, the IULOWA operators are applied to group decision making with uncertain linguistic information.

Organizational Design of Post Corporation Structure Using Fuzzy Multicriteria Decision Making

A model for organizational design of post corporation structure is developed in this paper. Alternative organization solutions have been designed taking into account the post environment characterized by private operators' competition and development of new message transmission technologies. Criteria for organizational design have been considered as numerical and uncertain linguistic variables describes by fuzzy sets. The model has been tested on a numerical example.

Methodology of Situational Control Creation and its Application

The basic problem in the control and diagnostic of complex systems is the solution of discrepancy between a large number of possible operational situations and a limited number of usable control strategies. This problem can be solved in such a way that the operational situations are grouped into a limited number of classes to which in advance are assigned some algorithms (control strategies, functions of control modes). The number of pattern situations created in this way (situational classes, emergency degrees of the operation) is limited, usually also by the human ability (of an operator, production manager) to distinguish situations under the conditions of multi-criterion judgement. The paper presented aims to elucidate the procedure of the concept creation of the situational control of complexes, to demonstrate briefly the open and complicated nature of individual steps of this procedure (the choice of criteria of situational classification, the creation of pattern classes of situations, processing of uncertain linguistic variables, type of the structure model and functions of the complex, etc.), as well as to present the application of the methodology in the conditions of an automated technological workplace for planary shaping.