T-spherical fuzzy power muirhead mean operator based on novel operational laws and their application in multi-attribute group decision making

Peide Liu, Qaisar Khan, Tahir Mahmood, Nasruddin Hassan

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

T-spherical fuzzy set (T-SPFS) is a generalization of several fuzzy concepts such as fuzzy set (FS), intuitionistic FS, picture FS, Pythagorean FS, and q-rung orthopair FS. T-SPFS is a more powerful mathematical tool to handle uncertain, inconsistent, and vague information than the above-defined sets. In this paper, some limitations in the operational laws for SPF numbers (SPFNs) are discussed and some novel operational laws for SPFNs are proposed. Furthermore, two new aggregation operators for aggregating SPF information are proposed and are applied to multiple-attribute group decision-making (MAGDM). To take the advantages of Muirhead mean (MM) operator and power average operator, the SPF power MM (SPFPMM) operator, weighted SPFPMM operator, SPF power dual MM (SPFPDMM) operator, weighted SPFPDMM operator are introduced and their anticipated properties are discussed. The main advantage of these developed aggregation operators is that they take the relationship among fused data and the interrelationship among aggregated values, thereby getting more information in the process of MAGDM. Moreover, a novel approach to MAGDM based on the developed aggregation operators is established. Finally, a numerical example is given to show the effectiveness of the developed approach and comparison with the existing approaches is also given.

Original languageEnglish
Article number8631030
Pages (from-to)22613-22632
Number of pages20
JournalIEEE Access
Volume7
DOIs
Publication statusPublished - 1 Jan 2019

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Fuzzy sets
Decision making
Agglomeration

Keywords

  • Aggregation operator
  • MAGDM
  • MM operator
  • Novel operational laws
  • Power average operator
  • Power Murihead mean operator
  • T-Spherical fuzzy set

ASJC Scopus subject areas

  • Computer Science(all)
  • Materials Science(all)
  • Engineering(all)

Cite this

T-spherical fuzzy power muirhead mean operator based on novel operational laws and their application in multi-attribute group decision making. / Liu, Peide; Khan, Qaisar; Mahmood, Tahir; Hassan, Nasruddin.

In: IEEE Access, Vol. 7, 8631030, 01.01.2019, p. 22613-22632.

Research output: Contribution to journalArticle

Liu, Peide ; Khan, Qaisar ; Mahmood, Tahir ; Hassan, Nasruddin. / T-spherical fuzzy power muirhead mean operator based on novel operational laws and their application in multi-attribute group decision making. In: IEEE Access. 2019 ; Vol. 7. pp. 22613-22632.
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