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Article type: Research Article
Authors: Fahmi, A.a | Abdullah, S.b; * | Amin, F.a | Ali, A.a | Ahmed, R.c | Shakeel, M.c
Affiliations: [a] Department of Mathematics, Hazara University Mansehra, Pakistan | [b] Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan | [c] Department of Meteorlogy, Cosmats Institute of Information Technology, Islamabad, Pakistan
Correspondence: [*] Corresponding author. S. Abdullah, Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan. E-mail: [email protected].
Abstract: The aim of this paper is to define some new operation laws for trapezoidal cubic hesitant fuzzy (TrCHF) numbers and define some new aggregation operators. In order to extend these operational laws of the trapezoidal cubic hesitant fuzzy numbers (TrCHFNs), we constructed a series of aggregation operator so called trapezoidal cubic hesitant fuzzy averaging and geometric aggregation operators. Furthermore, these aggregation operators applied to group decision making. Finally, a numerical example is used to illustrate the validity of the proposed approach in group decision-making problems.
Keywords: Trapezoidal cubic hesitant fuzzy sets, operational laws, aggregation operator, multiple attribute group decision-making, numerical application
DOI: 10.3233/JIFS-181703
Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 4, pp. 3619-3635, 2019
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