Aggregation of Pentagonal Fuzzy Numbers with Fuzzy t-norm

Author(s)	Ms. Swetha T S, Dr. Abirami B
Country	India
Abstract	Aggregation operator is one of most crucial processes for combining fuzzy sets that incorporate results of each rule into single fuzzy set. In this paper, a novel category of fuzzy aggregation operators in pentagonal fuzzy numbers (PFNs) was developed. We concentrate in this paper on weighted aggregation operators because we find out the exact numbers while using the uncertainty in a fuzzy environment. And, also the aggregation results are obtained by using the notation of triangular norms as pseudo arithmetic operations (t-norms and t-conorms). Furthermore, we obtain a consequence for pentagonal fuzzy t-norm weighted arithmetic and pentagonal fuzzy t-norm ordered weighted arithmetic. We examine these operator’s primary characteristics and compare them to those that exist already. This fuzzy aggregation operator offers novel and intriguing situations in addition to covering a diverse array of beneficial pre-existing fuzzy aggregation operators. Finally, we apply the weighted aggregation procedures that have been shown in the numerical example for the best student performance selection strategies for pentagonal fuzzy numbers.
Keywords	Fuzzy numbers, Pentagonal fuzzy number, Fuzzy triangular norms (t-norms and t-conorms), Fuzzy weighted averaging operators, Fuzzy ordered weighted aggregation operators.
Field	Mathematics
Published In	Volume 7, Issue 5, September-October 2026
Published On	2026-09-16

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