Fermatean fuzzy set theory is emerging as a novel mathematical tool to handle uncertainties in different domains of real world. sets were presented order that uncertain information from quite general real-world decision-making situations could be mathematically tractable. To purpose, these are more flexible and reliable than intuitionistic Pythagorean sets. This paper presents hybrid model, nam...

In this paper, we define the concept of a bipolar fuzzy cosets of a bipolar fuzzy HX subgroup, bipolar anti fuzzy HX subgroup, bipolar fuzzy middle coset of a bipolar fuzzy HX subgroup and bipolar anti fuzzy HX subgroup, conjugate bipolar fuzzy HX subgroup, conjugate bipolar anti fuzzy HX subgroup and discussed some of its properties with the examples. Further we define the level subsets and lo...

The goal of this paper is to investigate the certain properties bipolar fuzzy supra preopen sets (BF set). We introduce and study concepts pre-interior pre-interior) pre-closure pre-closure) operators. Furthermore, we define new type continuous mapping based on BF sets.

In this paper, the notion ofgraph operationsdisjunction and symmetric difference on bipolar fuzzy graphs are defined and it is proved that the new graph is a bipolar graph. Furthermore,the new concepts of bipolar fuzzy graphs calledupperstrong and lower strongbipolar fuzzy graphare introduced and some related </...

In this study, we first define some induced generalized spherical fuzzy Einstein aggregation operators such as ordered weighted averaging (GSEOWA), hybrid (GSEHWA), geometric (GSEOWG), and (GSEHWG) operators. Then, establish a model for these to solve the multiple attribute group decision-making problems also give an illustrative example. Finally, compare results given by all defined within pro...

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; In this paper, we study and discussion new type of fuzzy soft operator which is projection perpendicular ,and given some properties with characterization tis also theorems related on have been given. addition introduce the relation between other types.

Lipschitzian and kernel aggregation operators with respect to the natural T indistinguishability operator ET and their powers are studied. A t-norm T is proved to be ET -lipschitzian, and is interpreted as a fuzzy point and a fuzzy map as well. Given an archimedean t-norm T with additive generator t, the quasi-arithmetic mean generated by t is proved to be the more stable aggregation operator w...