Fermatean fuzzy sets are more powerful than sets, intuitionistic and Pythagorean in handling various problems involving uncertainty. The distance measures the non-standard frameworks have got their applicability areas such as pattern analysis, clustering, medical diagnosis, etc. Also, knowledge played a vital role computing criteria weights multicriteria decision-making problems. As there is no...

Abstract In this paper, a comprehensive review and critical analyses of methods based on the ordinary fuzzy set, Atanassov’s intuitionistic its extensions have been conducted to show their limitations defects. Then, novel similarity measure generalized score function has introduced that incorporates significance (importance) information, making it more intuitive compare them. The proposed metho...

In this paper we present two new types aggregation operators such as, induced Pythagorean fuzzy ordered weighted averaging aggregation operator and induced Pythagorean fuzzy hybrid averaging aggregation operator. We also discuss of important properties of these proposed operators and construct some examples to develop these operators.

The aim of this paper is to introduce the concept a generalized Pythagorean fuzzy soft set (GPFSS), which combination sets and sets. Several important operations GPFSS including complement, restricted union, extended intersection are discussed. basic properties presented. Further, an algorithm GPFSSs given solve decision-making. Finally, comparative analysis between approach some existing appro...

Abstract The Pythagorean fuzzy sets are more robust than and intuitionistic in dealing with the problems involving uncertainty. To compare two sets, distance measures play a crucial role. In this paper, we have proposed some novel for using t-conorms. We also discussed their various desirable properties. With help of suggested measures, introduced new knowledge sets. Through numerical compariso...

In this state-of-the-art paper, important advances that have been made during the past five years for both general and interval type-2 fuzzy sets and systems are described. Interest in type-2 subjects is worldwide and touches on a broad range of applications and many interesting theoretical topics. The main focus of this paper is on the theoretical topics, with descriptions of what they are, wh...

The existing expert weight determination method for multi-attribute decision making based on the Pythagorean fuzzy number approach does not make sufficient use of hesitation involved with information, which may cause biased assignment. Therefore, to address issue unknown weights and attribute evaluation numbers in group decision-making problems, a is proposed that improves treatment sets. First...