A novel distance of intuitionistic trapezoidal fuzzy numbers and its-based prospect theory algorithm in multi-attribute decision making model

The aim of this paper is to develop a new decision making method considering decision makers' psychological behavior for multi-attribute decision making problem under intuitionistic trapezoidal fuzzy environment. We first put forward a new distance measure of intuitionistic trapezoidal fuzzy nu...

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Published inMathematical biosciences and engineering : MBE Vol. 17; no. 4; pp. 2905 - 2922
Main Authors Ren, Haiping, Luo, Laijun
Format Journal Article
LanguageEnglish
Published AIMS Press 30.03.2020
Subjects
distance measure
intuitionistic trapezoidal fuzzy number
multi-attribute decision making method
prospect theory
risk attitude
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Summary:The aim of this paper is to develop a new decision making method considering decision makers' psychological behavior for multi-attribute decision making problem under intuitionistic trapezoidal fuzzy environment. We first put forward a new distance measure of intuitionistic trapezoidal fuzzy numbers. Then combining with cumulative prospect theory, we develop a novel decision making method, which can consider risk attitude of decision makers. Finally, an example is given to demonstrate the effectiveness and practicability of the proposed method.
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ISSN:1551-0018
1551-0018
DOI:10.3934/mbe.2020163