Possibility -Rung Interval Valued Fuzzy Soft Set and Their Real-life Application to Decision-making Approach

This paper introduces the theory of possibility -rung interval-valued fuzzy soft (P -rung IVFS) sets and demonstrates their application to real-life decision-making problems. P -rung IVFS sets generalize Pythagorean fuzzy soft sets and offer a novel approach to handling uncertainty. We propose a new...

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Published inLobachevskii journal of mathematics Vol. 45; no. 12; pp. 6633 - 6647
Main Authors Vidhya, S. R., Rajesh, N., Jafari, S., Nordo, G., Matevossian, H. A.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2024
Springer Nature B.V
Subjects
Algebra
Algorithms
Analysis
Decision making
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Uncertainty
soft set
decision making problem
rung interval valued fuzzy soft set
2010 Mathematics Subject Classification: 03E72, 03B52, 90B50
possibility
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Summary:This paper introduces the theory of possibility -rung interval-valued fuzzy soft (P -rung IVFS) sets and demonstrates their application to real-life decision-making problems. P -rung IVFS sets generalize Pythagorean fuzzy soft sets and offer a novel approach to handling uncertainty. We propose a new similarity measure between two P -rung IVFS sets, supported by examples. As a practical application, we explore the process of purchasing a computer, highlighting the decision-making stages involved. Using the soft set method, we present an algorithm for solving decision-making problems under uncertainty. Finally, we demonstrate the effectiveness of these methods with an illustrative example.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224607719