The Pythagorean fuzzy set is an extension of the intuitionistic used to handle uncertain circumstances in various decisions making problems. Group theory a mathematical technique for dealing with problems symmetry. This study deals group theory. In this article, we characterize notion subgroup and examine algebraic properties concept. An extensive on cosets subgroup, normal subgroups performed....

Abstract The main objective of this article is to lay the foundations a novel multi-criteria optimization technique, namely, complex Pythagorean fuzzy N -soft VIKOR (CPFNS-VIKOR) method that highly proficient express great deal linguistic imprecision and vagueness inherent in human assessments. This strategy provides versatile decision-making tool for ranking-based modeling two-dimensional para...

The concept of complex fuzzy sets is a generalization of ordinary fuzzy sets. In this paper, we introduce the concept of complex fuzzy subhypergroups ($H_{v}$-subgroups) as well as the concept of complex anti-fuzzy subhypergroups ($H_{v}$-subgroups). We investigate their properties and their relations with the traditional fuzzy (anti-fuzzy) subhypergroups ($H_{v}$-subgroups), and we prove some ...

Abstract As a more massive feasible and prominent tool than the complex interval-valued Pythagorean fuzzy (CIVPF) set intuitionistic (CIVIF) set, q-rung orthopair (CIVQROF) has been usually used to represent ambiguity vagueness for real-life decision-making problems. In this paper, we firstly proposed some distance measures, Yager operational laws, their comparison method. Further, developed CI...

With the deepening of uncertainty and fuzziness people’s understanding things, it becomes more convenient to use fuzzy decision making in evaluating schemes. These schemes not only include quantitative data but also consider evaluation information. In theory, Pythagorean set is extended, both which are less than or equal 1, increases scope application. This paper mainly studies selection green ...

<p>We elaborate in this paper a new structure Pythagorean fuzzy<br />$N$-soft groups which is the generalization of intuitionistic />soft group initiated by Karaaslan 2013. In />N-soft sets concepts fuzzy sets, soft N-soft soft<br />sets, are<br />generalized. We also talk about some elementary basic and<br />operations on with assistance of<br />illusi...