single-jc.php

JACIII Vol.22 No.1 pp. 147-155
doi: 10.20965/jaciii.2018.p0147
(2018)

Paper:

# Entropy Analysis on Intuitionistic Fuzzy Sets and Interval-Valued Intuitionistic Fuzzy Sets and its Applications in Mode Assessment on Open Communities

## Hang Tian*, Jiaru Li*, Fangwei Zhang*,†, Yujuan Xu**, Caihong Cui**, Yajun Deng*, and Shujun Xiao***

*College of Transport, Communications, Shanghai Maritime University
1550 Haigang Avenue, Shanghai 201306, China

**College of Economics and Management, Shanghai Maritime University
1550 Haigang Avenue, Shanghai 201306, China

***Logistics Engineering College, Shanghai Maritime University
1550 Haigang Avenue, Shanghai 201306, China

Corresponding author

May 25, 2017
Accepted:
November 14, 2017
Published:
January 20, 2018
Keywords:
intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, entropy, uncertainty, open community
Abstract

This paper identifies four variables to reveal the internal mechanisms of the entropy measures on intuitionistic fuzzy sets (IFSs) and interval-valued intuitionistic fuzzy sets (IVIFSs). First, four variables are used to propose a pair of generalized entropy measures on IFSs and IVIFSs. Second, three specific entropy measures are put forward to illustrate the effectiveness of the generalized entropy measure functions. Third, a novel multiple attribute decision-making approach under an intuitionistic fuzzy environment is proposed. The superiority of the decision-making approach is that the weight values of the attributes are obtained by their related entropy measures. Finally, the performance of the proposed entropy regulations on IFSs and IVIFSs is illustrated through a mode assessment example on open communities.

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