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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
exaly +4 more sources
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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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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A new operation on soft sets: extended symmetric difference of soft sets [PDF]
Vojnotehnički Glasnik, 2021 Introduction/purpose: Molodtsov introduced the concept of soft sets as a new mathematical tool for dealing with problems containing uncertainties.
Nenad S. Stojanović
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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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On Two Classes of Soft Sets in Soft Topological Spaces [PDF]
Symmetry, 2020 In this paper, we define soft ω -open sets and strongly soft ω -open sets as two new classes of soft sets. We study the natural properties of these types of soft sets and we study the validity of the exact versions of some known results in ordinary ...
Samer Al Ghour, Al Ghour Samer
exaly +3 more sources
Complex fermatean fuzzy N-soft sets: a new hybrid model with applications. [PDF]
J Ambient Intell Humaniz Comput, 2023 Decision-making methods play an important role in the real-life of human beings and consist of choosing the best options from a set of possible choices.
Akram M +3 more
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New aggregation operators on group-based generalized intuitionistic fuzzy soft sets. [PDF]
Soft comput, 2021 The approach of dealing with uncertainty is enhancing day-by-day with new rudiments and tools which possess their specific qualities. Usually, aggregation operators can easily manage the information in an exact manner.
Hayat K, Tariq Z, Lughofer E, Aslam MF.
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Expert Systems, 2023 This article defines ranked soft sets and establishes their fundamental theory. This new model of uncertain knowledge is a non‐numerical yet powerful improvement of soft sets.
Gustavo Santos-García, J. Alcantud
semanticscholar +2 more sources
PolyTree-Soft Sets and PolyForest-Soft Sets: A Directed Acyclic Framework for Soft Set Modeling
HyperSoft Set Methods in EngineeringVarious mathematical frameworks have been developed to handle uncertainty, including the concepts of Fuzzy Sets and Neutrosophic Sets. Among these, Soft Sets provide a powerful and flexible approach to decision-making by mapping parameters to subsets of ...
Takaaki Fujita
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