In this paper, we extend the notions of γ-operation introduced in [12], by using the soft ideal notions. We introduce the notions of Ĩ-open soft sets, pre-Ĩopen soft sets, α-Ĩ-open soft sets, semi-Ĩ-open soft sets and β-Ĩ-open soft sets to soft topological spaces. We study the relations between these different types of subsets of soft topological spaces with soft ideal. We also introduce the co...

In this paper, the Cartesian products on fuzzy soft set are defined, and the fuzzy soft relations can be presented based on the Cartesian products, including uni-int decision relation and level fuzzy soft relation. By using these new concepts an unt-int decision making method based on fuzzy soft set is constructed to selects a fuzzy set of optimum elements from the alternatives. Finally, an exa...

By using a special t-level relation U(μ, t) = {(x, y) ∈ S × S|(μ(x) ∧ μ(y)) ∨ IdS(x, y) ≥ t} based on a fuzzy ideal μ of a semigroup S, which is a congruence relation, we study the roughness of soft semigroups under this special ideal of S, such as rough soft subsemigroups, rough soft ideals and rough soft prime ideals.

Let {Xn; n ≥ 1} be a standardized non-stationary Gaussian sequence, and let denote Sn ∑n k 1 Xk , σn √ Var Sn . Under some additional condition, let the constants {uni; 1 ≤ i ≤ n, n ≥ 1} satisfy ∑n i 1 1−Φ uni → τ as n → ∞ for some τ ≥ 0 and min1≤i≤n uni ≥ c logn , for some c > 0, then, we have limn→∞ 1/ logn ∑n k 1 1/k I{∩i 1 Xi ≤ uki , Sk/σk ≤ x} e−τΦ x almost surely for any x ∈ R, where I A ...

In this paper, persents the definitions of strongly prime ideal, strongly prime N-subgroup, Pseudo-valuation near ring and Pseudo-valuation N-group. Some of their properties have also been proven by theorems. Then it is shown that, if N be near ring with quotient near-field K and P be a strongly prime ideal of near ring N, then is a strongly prime ideal of ‎‎, for any multiplication subset S of...

In this paper, we present the concepts of a fuzzy soft left (right) ideal and fuzzy soft interior ideal over an ordered semigroup S . Some basic results of fuzzy soft left (right) ideals and fuzzy soft interior ideals are investigated and the supported examples are provided. Different classes, regular, intra-regular, and simple ordered semigroups are characterized by means of fuzzy soft left (r...

A key explanatory variable in many scientific accounts of the U.S. Supreme Court is the preferred policy position (or ideal point) of each justice. In this paper we measure the ideal points of each justice serving from 1937 to 2000 using a measurement model derived from a simple, uni-dimensional spatial model of votes on the merits. The measures we obtain are dynamic, in that justices’ ideal po...

The main purpose of the present paper is to introduced notions (∈´,∈´∨q´)-UIFSSAs in subtraction BG-algebras. We provide different characterizations and some equivalent conditions terms level subsets It has been revealed that (q´,q´)-UIFSSA are (∈´,∈´)-UIFSSA but converse does not hold an example provided. (∈´,∈´∨q´)-UIFSIDs its usual properties. In addition, h−1(N˜[ς]) (∈´,∈´∨q´)-UIFSID. Moreo...

The term "bilateral deficit" (BLD) has been used to describe a reduction in performance during bilateral contractions when compared to the sum of identical unilateral contractions. In old age, maximal isometric force production (MIF) decreases and BLD increases indicating the need for training interventions to mitigate this impact in seniors. In a cross-sectional approach, we examined age-relat...