Possibility Interval-Valued Fermatean Neutrosophic Soft Sets in Decision making

Authors

  • Arunadevi S Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, 641 043, India
  • Jayanthi D Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, 641 043, India
  • Saranya M Department of Mathematics, Sri Krishna Adithya College of Arts and Science, 641 042, India

Keywords:

Interval-valued intuitionistic fuzzy soft sets, Possibility sets, Possibility Interval-valued intuitionistic fuzzy soft sets, Fermatean Fuzzy soft sets, Possibility Fermatean Neutrosophic soft sets

Abstract

 Presenting and analyzing Possibility Interval-Valued Fermatean Neutrosophic Soft Sets
 (PIVFNSS) and their properties is the main objective of this research study. The necessity
 of the introduction of PIVFNSS is that the set incorporates the possibility value which increases
 the set’s robustness. First, definitions and verification of fundamental mathematical characteristics
 including complement, intersection, and union are made. For easier comprehension, the
 operations "AND" and "OR" are defined with pertinent examples. This unique set is used
 to a decision-making problem, and its robustness and dependability are examined through
 sensitivity analysis.

 

DOI: 10.5281/zenodo.17088778

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Published

2026-01-25

How to Cite

Arunadevi S, Jayanthi D, & Saranya M. (2026). Possibility Interval-Valued Fermatean Neutrosophic Soft Sets in Decision making. Neutrosophic Sets and Systems, 95, 291-306. https://fs.unm.edu/nss8/index.php/111/article/view/7243