Let F*(K) be the set of all fuzzy complex numbers. In this paper some classical and measure-theoretical notions are extended to the case of complex fuzzy sets. They are fuzzy complex number-valued distance on F*(K), fuzzy complex number-valued measure on F*(K), and some related notions, such as null-additivity, pseudo-null-additivity, null-subtraction, pseudo-null-subtraction, autocontionuous f...

Experts use Pythagorean fuzzy hypersoft sets (PFHSS) in their investigations to resolve the indeterminate and imprecise information decision-making process. Aggregation operators (AOs) perform a leading role perceptivity among two circulations of prospect pull out concerns from that perception. In this paper, we extend concept PFHSS interval-valued (IVPFHSS), which is generalized form intuition...

Abstract Similarity measures are very effective and meaningful tool used for evaluating the closeness between any two attributes which important valuable to manage awkward complex information in real-life problems. Therefore, better handing of fuzzy real life, Ullah et al. (Complex Intell Syst 6(1): 15–27, 2020) recently introduced concept Pythagorean set (CPyFS) also described dominant measure...

The emergence of Industrial Internet Things (IIoT) technology has caused a paradigm shift in the global manufacturing sector, despite its adoption remains costly, complex, and high risk. Therefore, assessment manufacturers’ readiness prior to IIoT become very important. This study proposes evaluation framework for using interval-valued Pythagorean fuzzy set (IVPFS) method reduce uncertainty amb...