Distance Measures for Hesitant Intuitionistic Fuzzy Linguistic Sets

Meng Fanyong () and Tan Chunqiao ()
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Meng Fanyong: Nanjing University of Information Science and Technology Central South University
Tan Chunqiao: Central South University

ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, 2017, vol. 51, issue 4, 207-224

Abstract: To address qualitative and quantitative preferences, this paper defines a new fuzzy set named hesitant intuitionistic fuzzy linguistic sets (HIFLSs), which are composed by several linguistic terms with each of them having an intuitionistic fuzzy set. To research the application of HIFLSs, several distance measures are defined. To cope with the situations where the elements in a set are correlative, three interrelated distance measures are presented. To address intuitionistic hesitant fuzzy linguistic decision making problems with incomplete weight information, models for the optimal 2-additive measures and additive measures are respectively built. Then, an approach to multi-attribute decision making is developed. Finally, an illustrative example is offered to demonstrate the application of the procedure.

Keywords: decision making; hesitant intuitionistic fuzzy linguistic set; distance measure; 2-additive measure (search for similar items in EconPapers)
JEL-codes: D81 M12 M51 (search for similar items in EconPapers)
Date: 2017
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