Intuitionistic Fuzzy Ordered Weighted Cosine Similarity Measure

Ligang Zhou (), Zhifu Tao (), Huayou Chen () and Jinpei Liu ()
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Ligang Zhou: Anhui University
Zhifu Tao: Anhui University
Huayou Chen: Anhui University
Jinpei Liu: Anhui University

Group Decision and Negotiation, 2014, vol. 23, issue 4, No 10, 879-900

Abstract: Abstract The aim of this paper is to introduce the intuitionistic fuzzy ordered weighted cosine similarity (IFOWCS) measure by using the cosine similarity measure of intuitionistic fuzzy sets and the generalized ordered weighted averaging (GOWA) operator. Some desirable properties and different families of the IFOWCS measure are investigated. The prominent characteristics of the IFOWCS measure are that not only it is a generalization of some widely used similarity measure, but also it can deal with the correlation of different decision matrices or multi-dimensional arrays for intuitionistic fuzzy values. We further generalize the IFOWCS measure and obtain the intuitionistic fuzzy ordered weighted similarity (IFOWS) measure. In the end, the IFOWS measure with existing similarity measures are compared with the IFOWCS measure by an illustrative example.

Keywords: Group decision making; Intuitionistic fuzzy sets; Cosine similarity measure; IFOWCS measure (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10726-013-9359-1

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