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Novel Decomposed Spherical Fuzzy Sets and Its TOPSIS Extension

  • Nurdan Tüysüz,
  • Cengiz Kahraman

摘要

In this paper, novel decomposed spherical fuzzy sets which represent both three dimensional membership degrees and the consistency of judgments are proposed. First, definitions, basic mathematical operations and some important operators of decomposed spherical fuzzy sets are given. Then, crisp TOPSIS methodology is extended to decomposed spherical fuzzy version. Finally, an illustrative example is presented to show its practicality.