The concept of soft sets, introduced by Molodtsov [20] is a mathematicaltool for dealing with uncertainties, that is free from the difficultiesthat have troubled the traditional theoretical approaches. In this paper, weapply the notion of the soft sets of Molodtsov to the theory of Hilbert algebras.The notion of soft Hilbert (abysmal and deductive) algebras, soft subalgebras,soft abysms and sof...

The following remarks were inspired by the discussion in Zassenhaus [l, pp. 51-52] of multiply transitive holomorphs of groups. Theorems 1,2, and 3 below generalize Theorem 6, Theorem 7, and an untheoremed statement, respectively, in [l]. Additional relevant theorems are given in [2]. Let G and H be groups. Let o(G) denote the order of G. Consider the following statements. (A„) o(G)tn+l, o(H)^n...

the concept of soft sets, introduced by molodtsov [20] is a mathematicaltool for dealing with uncertainties, that is free from the difficultiesthat have troubled the traditional theoretical approaches. in this paper, weapply the notion of the soft sets of molodtsov to the theory of hilbert algebras.the notion of soft hilbert (abysmal and deductive) algebras, soft subalgebras,soft abysms and sof...

We give the definition of Lazard and Hall sets in the context of transitive factorizations of free monoids. The equivalence of the two properties is proved. This allows to build new effective bases of free partially commutative Lie algebras. The commutation graphs for which such sets exist are completely characterized and we explicit, in this context, the classical PBW rewriting process.

maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision making problem. in this paper, we apply fuzzy soft sets to  -hyperrings. the concept of ( , q )       -fuzzy soft  -hyperideals of  -hyperrings is first introduced. some new characterizations are investigated. in particular, a...

In this work, we define a fuzzy soft set theory and its related properties. We then define fuzzy soft aggregation operator that allows constructing more efficient decision making method. Finally, we give an example which shows that the method can be successfully applied to many problems that contain uncertainties.

E cannot always use the classical methods to solve complicated problems in economics, engineering, social sciences, medical sciences etc. because different types of uncertainties are present in these theories. These days so many theories are available to deal with such type of uncertainties, such as, theory of fuzzy sets [1], theory of intuitionistic fuzzy sets [2], [3], theory of vague sets [4...

Abstract We determine all finite sets of equiangular lines spanning finite-dimensional complex unitary spaces for which the action on set-stabiliser in group is 2-transitive with a regular normal subgroup.