SOFT WS-ALGEBRAS
Communications of the Korean Mathematical SocietyPublished 31 July 2008Open access
Chulhwan Park, Young-Bae Jun, Mehmet Ali̇ Öztürk
Citations54
SJR quartileQ3
SJR score0.25
SNIP0.72
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Abstract
Molodtsov [8] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of subtraction algebras. The notion of soft WS-algebras, soft subalgebras and soft deductive systems are introduced, and their basic properties are derived.
Keywords
Computer ScienceDecision Sciences
Computers & Mathematics with ApplicationsSoft set theory—First results
4,633 Citations1999D.A. Molodtsov
The main purpose of this paper is to introduce the basic notions of the theory of soft sets, to present the first results of the the theory, and to discuss some problems of the future.
Computers & Mathematics with ApplicationsSoft set theory
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The authors define equality of two soft sets, subset and super set of a soft set, complement of asoft set, null soft set and absolute soft set with examples and De Morgan's laws and a number of results are verified in soft set theory.
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This paper proposes a reasonable definition of parameterization reduction of soft sets and compares it with the concept of attributes reduction in rough sets theory and improves the application of a soft set in a decision making problem found in [1].
Bulletin of the Korean Mathematical SocietyWEAK FORMS OF SUBTRACTION ALGEBRAS
7 Citations2008Kyoung-Ja Lee, Young-Bae Jun +1 more
