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Soft sets and soft rings [PDF]
Computers and 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.
Bekir Tanay
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Consistent Sets of Soft Contexts Defined by Soft Sets [PDF]
Mathematics, 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
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Advances 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
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On operations of soft sets [PDF]
Computers and Mathematics With Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aslihan Sezgin, Akin Osman Atagun
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مجلة جامعة الانبار للعلوم الصرفة, 2023 The concept of bounded set within this set or space is given by many authors. A bornology is defined on soft set to solve the problems of boundedness for the soft set.
Anwar Imran +3 more
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Soft Rω-Open Sets and the Soft Topology of Soft δω-Open Sets
Axioms, 2022 The author devotes this paper to defining a new class of soft open sets, namely soft Rω-open sets, and investigating their main features. With the help of examples, we show that the class of soft Rω-open sets lies strictly between the classes of soft ...
Samer Al Ghour
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Advances 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
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Between the Classes of Soft Open Sets and Soft Omega Open Sets
Mathematics, 2022 In this paper, we define the class of soft ω0-open sets. We show that this class forms a soft topology that is strictly between the classes of soft open sets and soft ω-open sets, and we provide some sufficient conditions for the equality of the three ...
Samer Al Ghour
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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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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.
Ping Zhu 0001, Qiaoyan Wen
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