Volume 9, Issue 3, June 2016, Pages 497 - 505
A Definition for Hesitant fuzzy Partitions
Authors
Laya Aliahmadipour1, L.Aliahmadipour@math.uk.ac.ir, Vicenç Torra2, vtorra@his.se, Esfandiar Eslami3, Esfandiar.Eslami@uk.ac.ir, Mahdi Eftekhari4, M.Eftekhari@uk.ac.ir
Received 25 November 2015, Accepted 5 February 2016, Available Online 1 June 2016.
- DOI
- 10.1080/18756891.2016.1175814How to use a DOI?
- Keywords
- Fuzzy partition; I-fuzzy partition; Hesitant fuzzy set; Hesitant fuzzy partition
- 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.
- Copyright
- © 2016. the authors. Co-published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
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TY - JOUR AU - Laya Aliahmadipour AU - Vicenç Torra AU - Esfandiar Eslami AU - Mahdi Eftekhari PY - 2016 DA - 2016/06/01 TI - A Definition for Hesitant fuzzy Partitions JO - International Journal of Computational Intelligence Systems SP - 497 EP - 505 VL - 9 IS - 3 SN - 1875-6883 UR - https://doi.org/10.1080/18756891.2016.1175814 DO - 10.1080/18756891.2016.1175814 ID - Aliahmadipour2016 ER -