On Bipolar Soft Sets
Muhammad Shabir, Munazza Naz
TL;DR
This paper introduces bipolar soft sets, defining their basic operations and demonstrating their application in decision-making problems, expanding the soft set theory to incorporate bipolarity of information.
Contribution
It presents the formal definition of bipolar soft sets, along with union, intersection, and complementation operations, and applies these concepts to decision-making scenarios.
Findings
Bipolar soft sets are effectively modeled with defined operations.
Application examples demonstrate practical utility in decision making.
The framework extends soft set theory to bipolar information contexts.
Abstract
We have studied the concept of bipolarity of information in the soft sets. We have defined bipolar soft sets and basic operations of union, intersection and complementation for bipolar soft sets. Examples of bipolar soft sets and an application of bipolar soft sets in a decision making problem with general algorithms have also been presented at the end.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Algebra and Logic · Multi-Criteria Decision Making