Exponential operations for intuitionistic fuzzy numbers and interval numbers in multi-attribute decision making

Xunjie Gou and Zeshui Xu ()
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Xunjie Gou: Sichuan University
Zeshui Xu: Sichuan University

Fuzzy Optimization and Decision Making, 2017, vol. 16, issue 2, No 3, 183-204

Abstract: Abstract Intuitionistic fuzzy numbers (IFNs) have already been applied to many fields, especially in multi-attribute decision making (MADM). Based on the basic operational laws and information aggregation methods of IFNs, MADM with intuitionistic fuzzy information has become more and more popular. In this paper, we investigate the MADM problems where the attribute values take the form of interval numbers and the weight information on the attributes are expressed as IFNs. We first propose a novel exponential operational law based on IFNs and interval numbers, and then study some of its desirable properties. Based on the exponential operational law, we put forward an intuitionistic fuzzy weighted exponential aggregation operator, and utilize it to develop a MADM method. Finally, we apply our method to solve the decision making problem under uncertainty.

Keywords: Intuitionistic fuzzy numbers; Interval number; Exponential operational law; Information aggregation; Multi-attribute decision making (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10700-016-9243-y

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