4.6 Article

Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their Applications

Journal

IEEE ACCESS
Volume 7, Issue -, Pages 159069-159080

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2019.2949296

Keywords

Fuzzy sets; Weight measurement; Pattern recognition; Medical diagnosis; Licenses; Tools; Uncertainty; Spherical fuzzy sets (SFSs); cosine function; cosine similarity measure; pattern recognition; medical diagnosis

Funding

  1. National Natural Science Foundation of China [71571128]
  2. Humanities and Social Sciences Foundation of the Ministry of Education of the People's Republic of China [16YJA630033]

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In this paper, we defined ten similarity measures between spherical fuzzy sets (SFSs) based on the cosine function by considering the degree of positive-membership, degree of neutral-membership, degree of non-membership and degree of refusual-membership in SFSs. Then, we applied these similarity measures and weighted similarity measures between SFSs to pattern recognition and medical diagnosis. Finally, two illustrative examples are designed to show the efficiency of the similarity measures for pattern recognition and medical diagnosis.

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