A New Inaccuracy Measure for Fuzzy Sets and its Application in Multi-Criteria Decision Making
نویسنده
چکیده
Abstract— In the present paper, a new fuzzy inaccuracy measure is proposed to measure the inaccuracy of a fuzzy set with respect to another fuzzy set. This measure is a modified version of fuzzy inaccuracy proposed in our earlier work. The measure is demonstrated to satisfy some interesting properties, which prepare ground for applications in multi-criteria decision making problems. A method to solve multi-criteria decision making problems with the help of new measure is developed. Finally, a numerical example is given to illustrate the proposed method to solve multi-criteria decision-making problem under fuzzy environment.
منابع مشابه
A Multi-Criteria Analysis Model under an Interval Type-2 Fuzzy Environment with an Application to Production Project Decision Problems
Using Multi-Criteria Decision-Making (MCDM) to solve complicated decisions often includes uncertainty, which could be tackled by utilizing the fuzzy sets theory. Type-2 fuzzy sets consider more uncertainty than type-1 fuzzy sets. These fuzzy sets provide more degrees of freedom to illustrate the uncertainty and fuzziness in real-world production projects. In this paper, a new multi-criteria ana...
متن کاملHesitant q-rung orthopair fuzzy aggregation operators with their applications in multi-criteria decision making
The aim of this manuscript is to present a new concept of hesitant q-rung orthopair fuzzy sets (Hq-ROFSs) by combining the concept of the q-ROFSs as well as Hesitant fuzzy sets. The proposed concept is the generalization of the fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and Pythagorean fuzzy sets as well as intuitionistic hesitant fuzzy sets (IHFSs) and hesitant Pythagorean fuz...
متن کاملSolving New Product Selection Problem by a New Hierarchical Group Decision-making Approach with Hesitant Fuzzy Setting
Selecting the most suitable alternative under uncertainty is considered as a critical decision-making problem that affects the success of organizations. In the selection process, there are a number of assessment criteria, considered by a group of decision makers, which often could be established in a multi-level hierarchy structure. The aim of this paper is to introduce a new hierarchical multi...
متن کاملA Multi-Criteria Decision-Making Approach with Interval Numbers for Evaluating Project Risk Responses
The risk response development is one of the main phases in the project risk management that has major impacts on a large-scale project’s success. Since projects are unique, and risks are dynamic through the life of the projects, it is necessary to formulate responses of the important risks. Conventional approaches tend to be less effective in dealing with the imprecise of the risk response deve...
متن کاملA modification of probabilistic hesitant fuzzy sets and its application to multiple criteria decision making
Probabilistic hesitant fuzzy set (PHFS) is a fruitful concept that adds to hesitant fuzzy set (HFS) the term of probability which is able to retain more information than the usual HFS. Here, we demonstrate that the existing definitions of PHFS are not still reasonable, and therefore, we first improve the PHFS definition. By endowing the set and algebraic operations with a new re-definition of P...
متن کامل