A score function based on relative entropy and its application in intuitionistic normal fuzzy multiple criteria decision making

Authors:
Jian-qiang Wang;Kang-jian Li;Hong-yu Zhang;Xiao-hong Chen
Affiliations:
Business School, Central South University, Changsha, China;Business School, Central South University, Changsha, China;Business School, Central South University, Changsha, China;Business School, Central South University, Changsha, China
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2013

Citing 9
Cited 0

Interval valued intuitionistic fuzzy sets

Fuzzy Sets and Systems
Handling multicriteria fuzzy decision-making problems based on vague set theory

Fuzzy Sets and Systems
On a class of fuzzy c-numbers clustering procedures for fuzzy data

Fuzzy Sets and Systems
Multicriteria fuzzy decision-making problems based on vague set theory

Fuzzy Sets and Systems
Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets

Journal of Computer and System Sciences
Improved method of multicriteria fuzzy decision-making based on vague sets

Computer-Aided Design
An enhanced method and its application for fuzzy multi-criteria decision making based on vague sets

Computer-Aided Design
Intuitionistic fuzzy sets

Fuzzy Sets and Systems
Multi-criteria fuzzy decision-making method based on cross entropy and score functions

Expert Systems with Applications: An International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, after analyzing on shortcomings of the existing score functions of intuitionistic fuzzy set IFS, a new score function based on relative entropy is presented. The risk attitudes of the decision makers are also defined. Examples have been given to show the validity of this score function. Meanwhile, the definition of the intuitionistic normal fuzzy number and their operational laws and intuitionistic normal fuzzy weighted arithmetic averaging operator are proposed. As for the intuitionistic normal fuzzy multi-criteria decision-making problems in which criteria weights remain fixed and the criteria values of alternatives are in the form of intuitionistic normal fuzzy numbers. An intuitionistic normal fuzzy multi-criteria decision-making approach based on the relative score function is proposed. Finally, an example is provided to show the feasibility and validity of the approach.