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Decompositions of soft sets and soft matrices with applications in group decision making       
Yazarlar (2)
Prof. Dr. Akın Osman ATAGÜN Prof. Dr. Akın Osman ATAGÜN
Kırşehir Ahi Evran Üniversitesi, Türkiye
Hüseyin Kamacı
Yozgat Bozok Üniversitesi, Türkiye
Devamını Göster
Özet
The decompositions of soft sets and soft matrices are important tools for theoretical and practical studies. Tn this paper, & nacute;rstly, we study the decomposition of soft sets in detail. Later, we introduce the concepts of x-upper, x-lower, x-intersection and x-union for soft matrices and present some decomposition theorems. Some of these operations are set-restricted types of existing operations of soft sets/matrices, others are x-oriented operations that provide functionality in some cases. Moreover, some relations of decompositions of soft sets and soft matrices are investigated and the newfound relations are supported with numerical examples. Finally, two new group decision making algorithms based on soft sets/matrices are constructed, and then their efficiency and practicality are demonstrated by dealing with real life problems and comparison analysis. Ry using these proposed approaches, solutions can be presented to soft set-based multi-criteria decision making problems, both ordinary and involving primary assessments. These allow to handle soft set-based multi-criteria decision making from different perspectives.
Anahtar Kelimeler
Decision making | Decomposition of soft matrices | Decomposition of soft sets | Soft matrix | Soft set
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Scientia Iranica
Dergi ISSN 1026-3098 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 04-2024
Cilt No 31
Sayı 6
Sayfalar 518 / 534
Doi Numarası 10.24200/sci.2021.58119.5575
Makale Linki http://dx.doi.org/10.24200/sci.2021.58119.5575