Group Generalized q-Rung Orthopair Fuzzy Soft Sets: New Aggregation Operators and Their Applications | Zendy

Khizar Hayat | Zendy; Raja Aqib Shamim | Zendy; Hussain AlSalman | Zendy; Abdu Gumaei | Zendy; Xiaopeng Yang | Zendy; Muhammad Azeem Akbar | Zendy

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Group Generalized q-Rung Orthopair Fuzzy Soft Sets: New Aggregation Operators and Their Applications

Author(s) -

Khizar Hayat,

Raja Aqib Shamim,

Hussain AlSalman,

Abdu Gumaei,

Xiaopeng Yang,

Muhammad Azeem Akbar

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/5672097

Subject(s) - fuzzy logic , mathematics , fuzzy set , soft computing , group (periodic table) , multiple criteria decision analysis , range (aeronautics) , mathematical optimization , computer science , discrete mathematics , artificial intelligence , physics , engineering , quantum mechanics , aerospace engineering

In recent years, q-rung orthopair fuzzy sets have been appeared to deal with an increase in the value of q > 1 , which allows obtaining membership and nonmembership grades from a larger area. Practically, it covers those membership and nonmembership grades, which are not in the range of intuitionistic fuzzy sets. The hybrid form of q-rung orthopair fuzzy sets with soft sets have emerged as a useful framework in fuzzy mathematics and decision-makings. In this paper, we presented group generalized q-rung orthopair fuzzy soft sets (GGq-ROFSSs) by using the combination of q-rung orthopair fuzzy soft sets and q-rung orthopair fuzzy sets. We investigated some basic operations on GGq-ROFSSs. Notably, we initiated new averaging and geometric aggregation operators on GGq-ROFSSs and investigated their underlying properties. A multicriteria decision-making (MCDM) framework is presented and validated through a numerical example. Finally, we showed the interconnection of our methodology with other existing methods.

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