Affiliations: Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai, India
Correspondence:
[*]
Corresponding author. K. Prabakaran, Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai, India. E-mail: [email protected].
Abstract: Accumulation of
q˜
-rung picture fuzzy information plays an essential part in decision-making situations.
q˜
-rung picture fuzzy sets can handle the uncertain information more precisely and flexibly because of the presence of parameter
q˜
. Also the Frank t-norm and t-conorm operations perform suitably for the data accumulation with the operational parameter. In this paper, we introduce
q˜
-Rung picture fuzzy Frank weighted averaging operator and
q˜
-rung picture fuzzy Frank weighted geometric operator by extending
q˜
-rung orthopair fuzzy Frank arithmetic and geometric aggregation operators respectively. We establish an algorithm to address the tedious decision-making problems using these operators. Eventually, we discuss a multiple attribute decision-making problem to demonstrate the utility and efficacy of the proposed method. A comparison of existing methods is made to reveal the supremacy and benefits of our proposed method.
Keywords: Accumulation, q-rung picture fuzzy, Frank weighted averaging, Frank weighted geometric, decision-making
