The Multi-Interval-Valued Fuzzy Soft Set with Application in Decision Making

Shawkat Alkhazaleh

Department of Mathematics, Faculty of Sciences and Art, Shaqra University, Shaqra, Saudi Arabia.

DOI: 10.4236/am.2015.68118                

Abstract

In 1999, Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. By combining the multi-fuzzy set and soft set models, Y. Yang, X. Tan and C. Meng introduced the concept of multi-fuzzy soft sets and studied some of its operations, such as complement, “AND”, “OR”, Union and Intersection. They also gave an algorithm to analyze a decision problem using multi-fuzzy soft set. In this paper, we introduce the concept of multi-interval-valued fuzzy soft set (M-IVFSS). We also define its basic operations, namely complement, union, intersection, AND and OR. Finally, we give an application of this concept in decision-making problem.

Keywords

Soft Set, Fuzzy Soft Set, Multi-Fuzzy Soft Set, Multi-Interval-Valued Fuzzy Soft Set

Conflicts of Interest

The authors declare no conflicts of interest.

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