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Issue title: Special Section: Similarity, correlation and association measures - dedicated to the memory of Lotfi Zadeh
Guest editors: Ildar Batyrshin, Valerie Cross, Vladik Kreinovich and Maria Rifqi
Article type: Research Article
Authors: Kamacı, Hüseyin; *
Affiliations: Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, Yozgat, Turkey
Correspondence: [*] Corresponding author. Hüseyin Kamacı, Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey. E-mail: huseyin.kamaci@bozok.edu.tr.
Abstract: In this paper, the symmetric difference operation for each of the soft sets and the soft matrices is defined and then their related properties are derived. Also, the concept of similarity measure for the soft matrices is introduced. Thus, we pioneer the budding phase of the use of soft matrices to find the similarity of soft sets. Through the soft matrices, we develop the Scilab code which facilitates the computation process of similarity measure among the soft sets composed of many parameters and alternatives. Moreover, it is shown with several examples that the similarity measure can be used for some cases involving the uncertainties in various areas. To confirm the consistency of the emerging similarity measure, we make comparisons with the preexisting similarity measures for the soft sets.
Keywords: Soft set, soft matrix, symmetric difference, similarity measure, significantly similar
DOI: 10.3233/JIFS-18339
Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 4, pp. 3061-3072, 2019
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