In this paper we study two important concepts, i.e. the direct andthe inverse limit of hyperstructures associated with fuzzy sets of type 2, andshow that the direct and the inverse limit of hyperstructures associated withfuzzy sets of type 2 are also hyperstructures associated with fuzzy sets of type 2.

This work is towards the study of the relationship between fuzzy preordered sets and Alexandrov (left/right) fuzzy topologies based on generalized residuated lattices here the fuzzy sets are equipped with generalized residuated lattice in which the commutative property doesn't hold. Further, the obtained results are used in the study of fuzzy automata theory.

‎In this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. Moreover, we study some more properties of this type of closed spaces.

based on the point of view of geometrical representation of an intuitionistic fuzzy set, we take into account all three parameters describing intuitionistic fuzzy set, propose a kind of new method to calculate correlation and correlation coefficient of intuitionistic fuzzy sets which is similar to the cosine of the intersectional angle in finite sets and probability space, respectively. further...

When major emergencies or accidents occur, risk evaluation and prediction are the most important means to reduce their impact. Typical uses failure mode effects analysis (FMEA) method for failure-risk ranking control. However, when faced with severe special infectious diseases such as COVID-19, there many cognitive information uncertainties that FMEA is unable effectively handle. To deal issue ...

In this study we apply the knowledge of fuzzy sets to group structures and also to decision-making implications. We study fuzzy subgroups of finite abelian groups. We set G = Zpn + Zqm . The classification of fuzzy subgroups of G using equivalence classes is introduced. First, we present equivalence relations on fuzzy subsets of X, and then extend it to the study of equivalence relations of fuz...

the paper sets forth in detail categorically-algebraic or catalg foundations for the operations of taking the image and preimage of (fuzzy) sets called forward and backward powerset operators. motivated by an open question of s. e. rodabaugh, we construct a monad on the category of sets, the algebras of which generate the fixed-basis forward powerset operator of l. a. zadeh. on the next step, w...

Abstract This article is concerned to delineate the strategic approach of ELiminating Et Choice Translating REality (ELECTRE) method for multi-attribute group decision-making (MAGDM) in terms complex spherical fuzzy sets. The feasible, well-suited, and marvelous structure set compliments efficiency ranking calibre ELECTRE I present a beneficial supreme aptitude strategy MAGDM. Beside proposed m...

In the fuzzy theory of sets and groups, use α-levels is a standard to translate problems from crisp framework. Using strong α-levels, it possible establish one correspondence which makes doubly, gradual functorial treatment theory. The main result this paper identify class sets, respectively, with subcategories categories Set (0, 1], resp., Gr 1]. line, algebraic potential will be reached, in f...