Results 31 to 40 of about 147,654 (161)

soft sets, soft rough sets, soft pre-rough sets, information system, decision making

AIMS Mathematics, 2023
For any real $ \beta $ let $ H^2_\beta $ be the Hardy-Sobolev space on the unit disc $ {\mathbb D} $. $ H^2_\beta $ is a reproducing kernel Hilbert space and its reproducing kernel is bounded when $ \beta > 1/2 $. In this paper, we prove that $ C_{\varphi } $ has dense range in $ H_{\beta }^{2} $ if and only if the polynomials are dense in a certain
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Boolean Algebra of Soft Q-Sets in Soft Topological Spaces

Applied Computational Intelligence and Soft Computing, 2022
We define soft Q-sets as soft sets whose soft closure and soft interior are commutative. We show that the soft complement, soft closure, and soft interior of a soft Q-set are all soft Q-sets. We show that a soft subset K of a given soft topological space
Samer Al Ghour
doaj   +1 more source

WEIGHTED NEUTROSOPHIC SOFT SETS APPROACH IN A MULTICRITERIA DECISION MAKING PROBLEM

Journal of New Theory, 2015
– The paramount importance of decision making problem in an imprecise environment is becoming very much significant in recent years. In this paper we have studied weighted neutrosophic soft sets which are a hybridization of neutrosophic sets with soft ...
Pabitra Kumar Maji
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Congruence Representations via Soft Ideals in Soft Topological Spaces

Axioms, 2023
This article starts with a study of the congruence of soft sets modulo soft ideals. Different types of soft ideals in soft topological spaces are used to introduce new weak classes of soft open sets.
Zanyar A. Ameen, Mesfer H. Alqahtani
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SOFT Λβ-CLOSED SETS IN SOFT TOPOLOGICAL SPACES

Journal of New Theory, 2015
− In this paper, we introduce the notions of soft β-kernel of soft sets, S∧β-closed sets andS∧β-open sets in soft topological spaces. The concept of S∧β-sets, as a generalization to the classof soft β-open sets, is defined.
Rodyna Ahmed Hosny, Alaa Mohamed Abd El-latif   +1 more
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Operations on Soft Sets Revisited [PDF]

Journal of Applied Mathematics, 2013
The concept of soft sets introduced by Molodtsov is a general mathematical tool for dealing with uncertainty. Just as the conventional set-theoretic operations of intersection, union, complement, and difference, some corresponding operations on soft sets have been proposed.
Zhu, Ping, Wen, Qiaoyan
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THE RESTRICT AND EXTEND OF SOFT SET

Journal of New Theory, 2015
In 1999, Molodtsov [1] introduced the concept of soft sets. In 2003, Maji et al. [2] presented a detailed theoretical study of soft sets which includes soft subset of a soft set, equality of soft sets and operations on soft sets such as union and ...
Nader Dabbit, Samer Sukkary
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Heptapartitioned Neutrosophic Soft Matrices and its Application in Medical Diagnosis [PDF]

Neutrosophic Sets and Systems
In real-life situations, we often encounter challenges involving uncertainty, vague ness, complexity, and unpredictability. Heptapartitioned Neutrosophic Sets serve as a mathe matical tool to address issues that existing methods cannot effectively ...
T. Mythili, V. Jeyanthi, V. Jeyanthi, W.F.Al-Omeri   +3 more
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Soft Semi ω-Open Sets

Mathematics, 2021
In this paper, we introduce the class of soft semi ω-open sets of a soft topological space (X,τ,A), using soft ω-open sets. We show that the class of soft semi ω-open sets contains both the soft topology τω and the class of soft semi-open sets ...
Samer Al Ghour
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Multiparameterized Soft Set [PDF]

Journal of Mathematics and Statistics, 2012
Problem statement: In 1999 Molodtsov introduced the concept of a soft set as a general mathematical tool for dealing with uncertainty. The solutions of such problems involve the use of mathematical principles based on uncertainty and imprecision. Approach: In this study we recall the definition of a soft set, its properties and its operations. Results:
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