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Issue title: Special Section: Fuzzy Decision Making and Applications in Knowledge Management
Guest editors: Justin Zhang
Article type: Research Article
Authors: Khalil, Shuker Mahmood
Affiliations: Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq
Correspondence: [*] Corresponding author. Shuker Mahmood Khalil, Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq. E-mail: shuker.alsalem@gmail.com.
Abstract: A new category of similarity measures is investigated in this work, we first introduce the concept of effect matrix T∧(R1×R2,pn,qm) of type 2-tuple and study some of their properties. Moreover, from the soft set we find the pictures of type regular and irregular using effect matrix T∧(R1×R2,pn,qm) of type 2-tuple. An effect matrix T∧(R1×R2,pn,qm) of type 2-tuple is better than effect matrix E∧(R,pn,qm) of type 1-tuple, because we can deal with two different sets R1 (a family of objectives) and R2 (a family of parameters) in the same problem. This burden can be alleviated by application of type 2-tuple. Some applications of soft effect matrix of type 2-tuple T∧(R1×R2,pn,qm) in decision making problems are studied and explained. In this work we deal with pictures. Moreover, the similarity measure between two different soft sets under the same universal soft set (R1×R2) can be studied and explained its applications in medical diagnosis problems.
Keywords: Decision making, algebraic operations, fuzzy soft sets theory, model, equivalence relation, similarity measures
Keywords: 54A10, 54C10, 54A05
DOI: 10.3233/JIFS-179249
Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 1865-1877, 2019
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