Some Results on (Generalized) Fuzzy Multi-Hv-Ideals of Hv-Rings

Abstract

The concept of fuzzy multiset is well established in dealing with many real life problems. It is possible to find various applications of algebraic hypercompositional structures in natural, technical and social sciences, where symmetry, or the lack of symmetry, is clearly specified and laid out. In this paper, we use fuzzy multisets to introduce the concept of fuzzy multi- H v -ideals as a generalization of fuzzy H v -ideals. Moreover, we introduce the concept of generalized fuzzy multi- H v -ideals as a generalization of generalized fuzzy H v -ideals. Finally, we investigate the properties of these new concepts and present different examples.

A Study on Some Properties of Neutrosophic Multi Topological Group

“…If every element of an FMS can occur at most once, we go back to FSs [48]. In [49], Onasanya et al defined the multi-fuzzy group (FMG), and in [50,51], the authors defined fuzzy multi-polygroups and fuzzy multi-Hv-ideals and studied their properties. In [52], Neutrosophic Multigroup (NMG) and their applications are observed.…”

Application Multi-Fuzzy Soft Sets in Hypermodules

“…In [29], Onasanya and Hoskova-Mayerova introduced fuzzy multi-groups excited by multisets. Then, fuzzy multi-polygroups and fuzzy multi-H v -ideals, which are a generalization of fuzzy H v -ideals, were studied in [30,31]. Yang et al [32] proposed the concept of the multi-fuzzy soft set for its application to decision making, which is a more general fuzzy soft set.…”

The Homomorphism Theorems of M-Hazy Rings and Their Induced Fuzzifying Convexities

“…Years later, Demirci [4] defined "smooth groups" by using fuzzy functions and fuzzy equalities [5][6][7]. Since then, many researchers have worked in various directions, such as with smooth subgroups and smooth homomorphisms, generalized vague groups, vague rings, vague ideals, fuzzy multi-polygroups, fuzzy multi-H v -ideals, and other fuzzy algebra [8][9][10][11][12][13][14][15][16][17][18][19].Liu [20,21] proposed and obtained fundamental results of fuzzy subrings and fuzzy ideals of a ring. Dixit et al [22] discussed some basic properties of fuzzy rings.…”