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Soft set theory

open access: bronzeComputers & Mathematics with Applications, 2003
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Pabitra Kumar Maji   +2 more
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Consistent Sets of Soft Contexts Defined by Soft Sets [PDF]

open access: yesMathematics, 2019
We introduce the notion of consistent sets of soft contexts and investigate its characterizations. For the purpose of studying the characterizations of consistent sets, we introduce the notions of 1 0 and 2 0 classes of independent ...
Won Keun Min
doaj   +3 more sources

Soft sets and soft rings

open access: bronzeComputers & Mathematics with Applications, 2010
AbstractMolodtsov (1999) introduced the concept of soft sets in [1]. Then, Maji et al. (2003) defined some operations on soft sets in [2]. Aktaş and Çaǧman (2007) defined the notion of soft groups in [3]. Finally, soft semirings are defined by Feng et al. (2008) in [5]. In this paper, we have introduced initial concepts of soft rings.
Ummahan Acar, Fatih Koyuncu, Bekir Tanay
openalex   +4 more sources

On operations of soft sets

open access: bronzeComputers & Mathematics with Applications, 2011
AbstractSoft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, first we prove that certain De Morgan’s law hold in soft set theory with respect to different operations on soft sets.
Aslıhan Sezgin, Akın Osman Atagün
openalex   +4 more sources

Multiaspect Soft Sets [PDF]

open access: yesAdvances in Fuzzy Systems, 2013
We introduce a novel concept of multiaspect soft set which is an extension of the ordinary soft set by Molodtsov. Some basic concepts, operations, and properties of the multiaspect soft sets are studied.
Nor Hashimah Sulaiman, Daud Mohamad
doaj   +2 more sources

Operations on soft sets revisited [PDF]

open access: greenJournal of Applied Mathematics, 2012
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.
Ping Zhu, Qiaoyan Wen
openalex   +7 more sources

Geometric Soft Sets

open access: yesHittite Journal of Science and Engineering, 2017
Snew concept called geometric soft sets to present and analyze the geometrical, topological, oft sets are efficient tools to determine uncertainty in systems.
Omer Akguller
doaj   +5 more sources

Filterness of Soft Sets [PDF]

open access: bronzeJournal of Korean Institute of Intelligent Systems, 2011
The notions of soft filters, ultra soft filters and bases of a soft filter are introduced and their basic properties are investigated. The adherence and convergence of soft filters in soft topological spaces with related results is also discussed.
Jin Han Park   +2 more
openalex   +4 more sources

On Fuzzy Soft Sets [PDF]

open access: yesAdvances in Fuzzy Systems, 2009
We further contribute to the properties of fuzzy soft sets as defined and studied in the work of Maji et al. ( 2001), Roy and Maji (2007), and Yang et al. (2007) and support them with examples and counterexamples. We improve Proposition 3.3 by Maji et al.
B. Ahmad, Athar Kharal
doaj   +3 more sources

Convex and Concave Sets Based on Soft Sets and Fuzzy Soft Sets

open access: yesJournal of New Theory, 2019
In this study, after given somebasic definitions of soft sets and fuzzy soft sets we firstly defineconvex-concave soft sets. Then, we investigate their properties and give somerelations between convex and concave soft sets.
İrfan Deli
doaj   +2 more sources

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