ISSN: 1304-7191 | E-ISSN: 1304-7205
Cubic Picture Fuzzy Sets and Their Application to a Petroleum Circulation Center Evaluation Problem
1Department of Mathematics, Abdul Wali Khan University, Mardan, PAKISTAN
Sigma J Eng Nat Sci 2019; 10(): 99-133
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Abstract

The objective of this paper is to present novel concept of cubic picture fuzzy set to deals with uncertainties in decision making problems. In this paper, we propose the internal (external) cubic picture sets, define union and intersection under P-order & R-order and deliver some examples to support of established P-order & R-order union and intersection of internal (external) cubic picture sets. Further, we propose the series of aggregation operators to aggregate the cubic picture fuzzy information's. Then, by utilizing these operators, we develop an approach for solving the multicriteria decision-making problem and illustrate it with a numerical example of a petroleum circulation center evaluation problem to demonstrate the usage and applicability of the proposed ranking approach.