This study focuses on combining the theories of m -polar fuzzy sets over id="M2"> BCK -algebras and establishing a new framework id="M3"> id="M4"> -algebras. In this paper, we define idea id="M5"> positive implicative ideals in id="M6"> investigate some related properties. Then, introduce concepts id="M7">...

In this paper we prove, that the problem ”kdim(G) ≤ 3” is polynomially solvable for chordal graphs, thus partially solving the problem of P. Hlineny and J. Kratochvil. We show, that the problem of finding m-krausz dimension is NP-hard for every m ≥ 1, even if restricted to (1,2)-colorable graphs, but the problem ”kdimm(G) ≤ k” is polynomially solvable for (∞, 1)-polar graphs for every fixed k,m...

Independent sets play an important role in matroid theory. In this paper, the definitions of pre-independent fuzzy set system and independent fuzzy set system in L-fuzzy setting are presented. Independent M-fuzzifying set system is introduced and some of its properties are discussed. Further independent (L,M)-fuzzy set system is given and some of its properties are obtained. The relations of th...

We describe the use of two-graphs and skew (oriented) two-graphs as isomorphism invariants for translation planes and m-systems (including ovoids and spreads) of polar spaces in odd characteristic.

Abstract In this paper, first we introduce the concepts of interval valued m -polar fuzzy (briefly, IV PF) p -ideals, PF q -ideals and a in BCI-algebras. Then show that ( )-ideals are ideals but converse statements not valid an example is given each case. We provide conditions under which ideal becomes )-ideal. Further, associated properties considered. Moreover, characterize terms Also, corres...

Abstract This paper formalizes a novel model that is able to use both interval representations, parameterizations, partial memberships and multi-polarity. These are differing modalities of uncertain knowledge supported by many models in the literature. The new structure embraces all these features simultaneously called interval-valued multi-polar fuzzy soft set (IV m FSS, for short). An enhance...

Matroids are important combinatorial structures and connect close-lywith graphs. Matroids and graphs were all generalized to fuzzysetting respectively. This paper tries to study  connections betweenfuzzy matroids and fuzzy graphs. For a given fuzzy graph, we firstinduce a sequence of matroids  from a sequence of crisp graph, i.e.,cuts of the fuzzy graph. A fuzzy matroid, named graph fuzzy matro...

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 ...