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Plithogenic Soft Set [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
In 1995, Smarandache initiated the theory of neutrosophic set as new mathematical tool for handling problems involving imprecise, indeterminacy, and inconsistent data.
Shawkat Alkhazaleh
doaj   +2 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

Soft set theory

open access: bronzeComputers & Mathematics with Applications, 2003
AbstractIn 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'
Pabitra Kumar Maji   +2 more
openalex   +3 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

Combination of interval set and soft set [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2013
Soft set theory and interval set theory are all mathematical tools for dealing with uncertainties. This paper is devoted to the discussion of soft interval set and its application.
Keyun Qin, Dan Meng, Zheng Pei, Yang Xu
doaj   +4 more sources

On the neutrosophic soft set with rough set theory. [PDF]

open access: yesSoft comput, 2021
Rough set is a very powerful invention to the whole world for dealing with uncertain, incomplete and imprecise problems. Also soft set theory and neutrosophic set theory are advance mathematical tools to handle these uncertain, incomplete, inconsistent information in a better way.
Das M, Mohanty D, Parida KC.
europepmc   +5 more sources

Fuzzy Soft Sets and Fuzzy Soft Lattices [PDF]

open access: goldInternational Journal of Computational Intelligence Systems, 2012
The theory of soft sets was introduced by Molodtsov in 1999 in order to deal with uncertainties. In this paper, the notion of fuzzy soft lattice is defined and some related properties are derived, which extends the notion of a fuzzy lattice to include ...
Yingchao Shao, Keyun Qin
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

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

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