Distance and similarity measures of dual hesitant fuzzy sets with their applications to multiple attribute decision making

The Dual Hesitant Fuzzy Sets (DHFSs) is a useful tool to deal with vagueness and ambiguity in the multiple attribute decision making (MADM) problems. The distance and similarity measures analysis are important research topics. In this paper, we propose a variety of distance measures for dual hesitan...

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Vydáno v:2014 IEEE International Conference on Progress in Informatics and Computing s. 88 - 92
Hlavní autoři: Lei Wang, Shiming Xu, Qiming Wang, Mingfang Ni
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.05.2014
Témata:
Decision making
distance measures
dual hesitant fuzzy set
Educational institutions
Fuzzy sets
Hamming distance
Programmable logic arrays
similarity measures
TOPSIS
Weight measurement
ISBN:9781479920334, 1479920339
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Abstract The Dual Hesitant Fuzzy Sets (DHFSs) is a useful tool to deal with vagueness and ambiguity in the multiple attribute decision making (MADM) problems. The distance and similarity measures analysis are important research topics. In this paper, we propose a variety of distance measures for dual hesitant fuzzy sets, based on which the corresponding similarity measures can be obtained. We investigate the connections of the aforementioned distance measures and further develop a number of dual hesitant ordered weighted distance measures. Finally, we present a TOPSIS approach based on proposed distance measures for the weapon selection problem.
AbstractList The Dual Hesitant Fuzzy Sets (DHFSs) is a useful tool to deal with vagueness and ambiguity in the multiple attribute decision making (MADM) problems. The distance and similarity measures analysis are important research topics. In this paper, we propose a variety of distance measures for dual hesitant fuzzy sets, based on which the corresponding similarity measures can be obtained. We investigate the connections of the aforementioned distance measures and further develop a number of dual hesitant ordered weighted distance measures. Finally, we present a TOPSIS approach based on proposed distance measures for the weapon selection problem.
Author Qiming Wang
Mingfang Ni
Lei Wang
Shiming Xu
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  surname: Shiming Xu
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  organization: Coll. of Commun. Eng., PLA Univ. of Sci. & Technol., Jinan, China
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  surname: Qiming Wang
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  email: fuzzyset@126.com
  organization: PLA Troop, Jinan, China
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  surname: Mingfang Ni
  fullname: Mingfang Ni
  email: ni_51@tom.com
  organization: Coll. of Commun. Eng., PLA Univ. of Sci. & Technol., Nanjing, China
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Snippet The Dual Hesitant Fuzzy Sets (DHFSs) is a useful tool to deal with vagueness and ambiguity in the multiple attribute decision making (MADM) problems. The...
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SubjectTerms Decision making
distance measures
dual hesitant fuzzy set
Educational institutions
Fuzzy sets
Hamming distance
Programmable logic arrays
similarity measures
TOPSIS
Weight measurement
Title Distance and similarity measures of dual hesitant fuzzy sets with their applications to multiple attribute decision making
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