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Soft set

About: Soft set is a(n) research topic. Over the lifetime, 1360 publication(s) have been published within this topic receiving 47638 citation(s).

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Papers
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Journal ArticleDOI: 10.1016/S0165-0114(86)80034-3
Krassimir T. Atanassov1Institutions (1)
Abstract: A definition of the concept 'intuitionistic fuzzy set' (IFS) is given, the latter being a generalization of the concept 'fuzzy set' and an example is described. Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.

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Topics: Fuzzy set operations (70%), Type-2 fuzzy sets and systems (64%), Fuzzy set (63%) ...read more

11,301 Citations


Open accessJournal ArticleDOI: 10.1016/S0898-1221(99)00056-5
D. Molodtsov1Institutions (1)
Abstract: The soft set theory offers a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. 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 theory, and to discuss some problems of the future.

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Topics: Soft set (75%), Soft computing (64%), Fuzzy logic (58%)

3,098 Citations


Open accessJournal ArticleDOI: 10.1016/S0898-1221(03)00016-6
Abstract: In this paper, the authors study the theory of soft sets initiated by Molodtsov. The authors define equality of two soft sets, subset and super set of a soft set, complement of a soft set, null soft set, and absolute soft set with examples. Soft binary operations like AND, OR and also the operations of union, intersection are defined. De Morgan's laws and a number of results are verified in soft set theory.

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Topics: Soft set (82%), Complement (set theory) (62%), Intersection (set theory) (59%) ...read more

1,818 Citations


Open accessJournal ArticleDOI: 10.1016/S0898-1221(02)00216-X
Abstract: In this paper, we apply the theory of soft sets to solve a decision making problem using rough mathematics.

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Topics: Dominance-based rough set approach (74%), Soft set (72%), Rough set (66%) ...read more

1,319 Citations


Open access
01 Jan 2001-
Topics: Soft set (64%)

1,100 Citations


Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20223
2021121
2020126
2019114
2018122
2017135

Top Attributes

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Topic's top 5 most impactful authors

Florentin Smarandache

51 papers, 817 citations

Tutut Herawan

37 papers, 809 citations

Said Broumi

27 papers, 625 citations

Nasruddin Hassan

23 papers, 591 citations

Young Bae Jun

22 papers, 1.8K citations

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