A Definition for Hesitant fuzzy Partitions. Issue 3 (3rd May 2016)

• Record Type: Journal Article
• Authors: Aliahmadipour, Laya; Torra, Vicenç; Eslami, Esfandiar; Eftekhari, Mahdi
• Is Part Of: International journal of computational intelligence systems. Volume 9:Issue 3(2016)
• Page Start: 497
• Page End: 505
• Publication Date: 2016-05-03
• Subjects: Fuzzy partition -- I-fuzzy partition -- Hesitant fuzzy set -- Hesitant fuzzy partition; Computational intelligence -- Periodicals; 006.305
• DOI: 10.1080/18756891.2016.1175814
• Languages: English
• ISSNs: 1875-6891

Abstract

Abstract: In this paper, we define hesitant fuzzy partitions (H-fuzzy partitions) to consider the results of standard fuzzy clustering family (e.g. fuzzy c-means and intuitionistic fuzzy c-means). We define a method to construct H-fuzzy partitions from a set of fuzzy clusters obtained from several executions of fuzzy clustering algorithms with various initialization of their parameters. Our purpose is to consider some local optimal solutions to find a global optimal solution also letting the user to consider various reliable membership values and cluster centers to evaluate her/his problem using different cluster validity indices.