in this note by considering a complete lattice l, we define thenotion of an l-fuzzy hyperrelation on a given non-empty set x. then wedefine the concepts of (pom)l-fuzzy graph, hypergraph and subhypergroupand obtain some related results. in particular we construct the categories ofthe above mentioned notions, and give a (full and faithful) functor form thecategory of (pom)l-fuzzy subhypergroups ...

Fuzzy bi-ideals play an important role in the study of ordered semigroupstructures. The purpose of this paper is to initiate and study theintiuitionistic fuzzy bi-ideals in ordered semigroups and investigate thebasic theorem of intuitionistic fuzzy bi-ideals. To provide thecharacterizations of regular ordered semigroups in terms of intuitionisticfuzzy bi-ideals and to discuss the relationships ...

The Li–Wan sieve [11] is extended to multisets when the underlying set symmetric. main ingredient of proof Möbius inversion formula on poset partitions {1,2,…,k} ordered by refinement. As illustrative applications, we investigate problems over finite fields and zero-sum additive group Z/nZ.

a flood warning system is a non-structural measure for flood mitigation. several parameters are responsible for flood related disasters. this work  illustrates an ordered intuitionistic fuzzy analysis that has the capability to simulate the unknown relations between a set of meteorological and hydrological parameters. in this paper, we first define ordered intuitionistic fuzzy soft sets and est...

Recently, fuzzy multisets have come to the forefront of scientists’ interest and been used for algebraic structures such as groups, rings, near rings. In this paper, we first summarize knowledge about structure multi-subnear rings multi-ideals Then recall results from our related previous work, where defined different operations on generalized some known ideals Finally, define anti-fuzzy (multi...

Abstract Fuzzy multiset finite automata with output represent fuzzy version of (with output) working over multisets. This paper introduces Mealy-like, Moore-like, and compact automata. Their mutual transformations are described to prove their equivalent behaviours. Furthermore, various variants reduced studied where the reductions directed decrease number components (like initial distribution, ...

An orthogonal approach to the fuzzification of both multisets and hybrid sets is presented. In particular, we introduce L-multi-fuzzy and L-fuzzy hybrid sets, which are general enough and in spirit with the basic concepts of fuzzy set theory. In addition, we study the properties of these structures. Also, the usefulness of these structures is examined in the framework of mechanical multiset pro...

Topology is an important and major area of mathematics and it can give many relationships between other scientific areas and mathematical models.The aim of this paper is to construct intuitionistic fuzzy soft multi topological space and it is shown that an intuitionistic fuzzy soft multi topological space gives a family of parameterized topological spaces and some basic properties regarding wit...

The paper is concerned with algebras whose elements can be used to represent runs of a system from a state to a state. These algebras, called multiplicative transition systems, are categories with respect to a partial binary operation called composition. They can be characterized by axioms such that their elements and operations can be represented by partially ordered multisets of a certain typ...