A novel distance between vague sets and its applications in decision making
type: Item
instance of: scholarly article
title: A novel distance between vague sets and its applications in decision making
zbMATH Open document ID: 1407.91080
DOI: 10.1155/2014/281095
author: Weibin Deng
author: Jin Liu
author: Feng Hu
author: Chang-Lin Xu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: A novel distance between vague sets (VSs) is presented after the inadequacies of existing distance measures between vague sets are analyzed by artificial vague sets. The proposed method investigates the assignment of degree of hesitation to the membership and nonmembership degree, and the properties are also discussed. The performances of the new method are illustrated by pattern classification problem. Finally, the proposed method is applied into multicriteria fuzzy decision making, where the linear programming method is taken to generate optimal weights for every criterion and the best alternative is obtained by the weighted sum of distance measures between each alternative and the idea alternative with respect to a set of criteria. The experimental results show the effectiveness of the proposed method.
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 90C70
Mathematics Subject Classification ID: 68T37
zbMATH DE Number: 7016064
Wikidata QID: Q59065389
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/281095
OpenAlex ID: W1999277443
cites work: Fuzzy sets
cites work: Intuitionistic fuzzy sets
cites work: Vague sets
cites work: Vague sets are intuitionistic fuzzy sets
cites work: Intuitionistic fuzzy sets. Theory and applications
cites work: Distances between intuitionistic fuzzy sets
cites work: New similarity measures between intuitionistic fuzzy sets and between elements
cites work: Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric
cites work: A note on distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric
cites work: Q4238946
cites work: Similarity measures on intuitionistic fuzzy sets
cites work: Multiple attribute decision making. Methods and applications. A state-of- the-art survey
cites work: Handling multicriteria fuzzy decision-making problems based on vague set theory
cites work: Multicriteria fuzzy decision-making problems based on vague set theory
cites work: Multiattribute decision making models and methods using intuitionistic fuzzy sets
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description: scientific article; zbMATH DE number 7016064