Belief and Possibility Belief Interval-Valued N-Soft Set and Their Applications in Multi-Attribute Decision-Making Problems

Shahbaz Ali, Muneeba Kousar, Qin Xin, Dragan Pamučar , Muhammad Shazib Hameed, Rabia Fayyaz

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
3 Downloads (Pure)

Abstract

In this research article, we motivate and introduce the concept of possibility belief intervalvalued N-soft sets. It has a great significance for enhancing the performance of decision-making procedures in many theories of uncertainty. The N-soft set theory is arising as an effective mathematical tool for dealing with precision and uncertainties more than the soft set theory. In this regard, we extend the concept of belief interval-valued soft set to possibility belief interval-valued N-soft set (by accumulating possibility and belief interval with N-soft set), and we also explain its practical calculations. To this objective, we defined related theoretical notions, for example, belief interval-valued N-soft set, possibility belief interval-valued N-soft set, their algebraic operations, and examined some
of their fundamental properties. Furthermore, we developed two algorithms by using max-AND and min-OR operations of possibility belief interval-valued N-soft set for decision-making problems and also justify its applicability with numerical examples.
Original languageEnglish
Article number1498
Number of pages37
JournalEntropy
Volume23
Issue number11
DOIs
Publication statusPublished - 13 Nov 2021

Keywords

  • algorithms and applications for decision-making
  • belief interval-valued soft set
  • belief interval-valued N-soft set
  • possibility belief intervalvalued N-soft set

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