Bijective Soft Matrix Theory and Multi-Bijective Linguistic Soft Decision System

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KAMACI H., Atagun A. O., Toktas E.

FILOMAT, cilt.32, sa.11, ss.3799-3814, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 11
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1811799k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3799-3814
  • Anahtar Kelimeler: soft set, bijective soft set, bijective soft matrix, multi-bijective linguistic soft decision system, SET-THEORY, REDUCTION, CONSENSUS, SELECTION
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, we firstly introduce bijective soft matrix theory and research its operations, properties and algebraic structures in detail. Also, we present a bijective soft decision system based on the bijective soft matrix theory. Moreover, we construct a multi-bijective linguistic soft decision system by employing the matrices corresponding to the bijective soft sets generated from the linguistic variable parameters. Finally, the system's decision algorithm and its application for a decision making problem are given. By using the algorithm, we determine both the linguistic variables according to the parameters and the parameters affecting the optimal choice according to the highest linguistic decision value.