A generalized approach towards soft expert sets via neutrosophic cubic sets with applications in games

Muhammad Gulistan, Nasruddin Hassan

Research output: Contribution to journalArticle

Abstract

Games are considered to be the most attractive and healthy event between nations and peoples. Soft expert sets are helpful for capturing uncertain and vague information. By contrast, neutrosophic set is a tri-component logic set, thus it can deal with uncertain, indeterminate, and incompatible information where the indeterminacy is quantified explicitly and truth membership, indeterminacy membership, and falsity membership independent of each other. Subsequently, we develop a combined approach and extend this concept further to introduce the notion of the neutrosophic cubic soft expert sets (NCSESs) by using the concept of neutrosophic cubic soft sets, which is a powerful tool for handling uncertain information in many problems and especially in games. Then we define and analyze the properties of internal neutrosophic cubic soft expert sets (INCSESs) and external neutrosophic cubic soft expert sets (ENCSESs), P-order, P-union, P-intersection, P-AND, P-OR and R-order, R-union, R-intersection, R-AND, and R-OR of NCSESs. The NCSESs satisfy the laws of commutativity, associativity, De Morgan, distributivity, idempotentency, and absorption. We derive some conditions for P-union and P-intersection of two INCSESs to be an INCSES. It is shown that P-union and P-intersection of ENCSESs need not be an ENCSES. The R-union and R-intersection of the INCSESs (resp., ENCSESs) need not be an INCSES (resp. ENCSES). Necessary conditions for the P-union, R-union and R-intersection of two ENCSESs to be an ENCSES are obtained. We also study the conditions for R-intersection and P-intersection of two NCSESs to be an INCSES and ENCSES. Finally, for its applications in games, we use the developed procedure to analyze the cricket series between Pakistan and India. It is shown that the proposed method is suitable to be used for decision-making, and as good as or better when compared to existing models.

Original languageEnglish
Article number289
JournalSymmetry
Volume11
Issue number2
DOIs
Publication statusPublished - 1 Feb 2019

Fingerprint

games
unions
intersections
Game
Intersection
Union
crickets
Internal
Pakistan
decision making
India
Indeterminacy
logic
Decision making
Soft Set
Distributivity
Associativity

Keywords

  • Cubic sets
  • Multicriteria decision-making
  • Neutrosophic cubic soft expert system
  • Neutrosophic cubic soft sets
  • Neutrosophic sets
  • Soft sets

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

Cite this

A generalized approach towards soft expert sets via neutrosophic cubic sets with applications in games. / Gulistan, Muhammad; Hassan, Nasruddin.

In: Symmetry, Vol. 11, No. 2, 289, 01.02.2019.

Research output: Contribution to journalArticle

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