New Distance Measures between the Interval-Valued Complex Fuzzy Sets with Applications to Decision-Making | Zendy

Haifeng Song | Zendy; Lvqing Bi | Zendy; Bo Hu | Zendy; Yingying Xu | Zendy; Songsong Dai | Zendy

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New Distance Measures between the Interval-Valued Complex Fuzzy Sets with Applications to Decision-Making

Author(s) -

Haifeng Song,

Lvqing Bi,

Bo Hu,

Yingying Xu,

Songsong Dai

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6685793

Subject(s) - interval (graph theory) , mathematics , fuzzy set , generalization , fuzzy logic , hamming distance , euclidean distance , field (mathematics) , euclidean geometry , fuzzy number , algorithm , artificial intelligence , mathematical optimization , computer science , pure mathematics , mathematical analysis , geometry , combinatorics

As a generalization of complex fuzzy set (CFS), interval-valued complex fuzzy set (IVCFS) is a new research topic in the field of CFS theory, which can handle two different information features with the uncertainty. Distance is an important tool in the field of IVCFS theory. To enhance the applicability of IVCFS, this paper presents some new interval-valued complex fuzzy distances based on traditional Hamming and Euclidean distances of complex numbers. Furthermore, we elucidate the geometric properties of these distances. Finally, these distances are used to deal with decision-making problem in the IVCFS environment.

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