Some new distance measures for type-2 fuzzy sets and distance measure based ranking for group decision making problems

In this paper, we propose some distance measures between type-2 fuzzy sets, and also a new family of utmost distance measures are presented. Several properties of different proposed distance measures have been introduced. Also, we have introduced a new ranking method for the ordering of type-2 fuzzy...

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Bibliographic Details
Published in:Frontiers of Computer Science 2014-10, Vol.8 (5), p.741-752
Main Author: SINGH, Pushpinder
Format: Article
Language:English
Subjects:
Computer Science
Decision making
distancemeasures
Fuzzy sets
group decision making problems
Ranking
ranking function
Research Article
Robustness (mathematics)
type-2 fuzzy sets
决策问题
排序方法
模糊集
测量基
耳鼻喉科
距离度量
距离测量
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Summary:In this paper, we propose some distance measures between type-2 fuzzy sets, and also a new family of utmost distance measures are presented. Several properties of different proposed distance measures have been introduced. Also, we have introduced a new ranking method for the ordering of type-2 fuzzy sets based on the proposed distance measure. The proposed ranking method satisfies the reasonable properties for the ordering of fuzzy quantities. Some properties such as robustness, order relation have been presented. Limitations of existing ranking methods have been studied. Further for practical use, a new method for selecting the best alternative, for group decision making problems is proposed. This method is illustrated with a numerical example.
ISSN:2095-2228
2095-2236
DOI:10.1007/s11704-014-3323-3