Combination of the Bipolar Soft Set and Soft Expert Set with an Application in Decision Making

Abstract

In this paper, we propose a novel concept of the bipolar soft expert set by combining the soft expert set and the bipolar soft set. Then, we define its basic operations such as complement, union, intersection, AND and OR for bipolar soft expert sets with illustrative examples. Then, using this set theory, an algorithm is proposed to express an uncertainty problem in the best way. Finally, we exemplify an uncertainty problem on how the proposed algorithm can be applied against uncertain situations that may be encountered in any field and we give its implementation in detail.

Keywords

• Soft set
• Soft expert set
• Bipolar soft set
• Bipolar soft expert set
• Decision making

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