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Bornological Soft Sets [PDF]

open access: yesJournal of University of Anbar for Pure Science, 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. Also, we construct soft base and soft subbase as a part of fundamental construction for bornological soft sets.
Anwar Imran   +3 more
openaire   +2 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. We also define a mapping on multiaspect soft classes and investigate several properties related to the images and preimages of multiaspect soft sets.
Nor Hashimah Sulaiman, Daud Mohamad
openaire   +2 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., (2001).
B. Ahmad, Athar Kharal
openaire   +2 more sources

Categorical Properties of Soft Sets [PDF]

open access: yesThe Scientific World Journal, 2014
The present study investigates some novel categorical properties of soft sets. By combining categorical theory with soft set theory, a categorical framework of soft set theory is established. It is proved that the categorySFunof soft sets and soft functions has equalizers, finite products, pullbacks, and exponential properties.
Min Zhou, Shenggang Li, Muhammad Akram
openaire   +4 more sources

Soft Expert Sets [PDF]

open access: yesAdvances in Decision Sciences, 2011
In 1999, Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. Many researchers have studied this theory, and they created some models to solve problems in decision making and medical diagnosis, but most of these models deal only with one expert.
Alkhazaleh, Shawkat, Salleh, Abdul Razak
openaire   +1 more source

Possibility Fuzzy Soft Set [PDF]

open access: yesAdvances in Decision Sciences, 2011
We introduce the concept of possibility fuzzy soft set and its operation and study some of its properties. We give applications of this theory in solving a decision-making problem. We also introduce a similarity measure of two possibility fuzzy soft sets and discuss their application in a medical diagnosis problem.
Alkhazaleh, Shawkat   +2 more
openaire   +2 more sources

Soft Linear Set Theory [PDF]

open access: yesThe Journal of Logic and Algebraic Programming, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Ranked soft sets

open access: yesExpert Systems, 2023
AbstractThis 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. The model relies on a qualitative improvement of the basic parameterized description posed by soft sets.
Gustavo Santos‐García   +1 more
openaire   +1 more source

Soft sets and soft rings

open access: yesComputers & 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.
Tanay, Bekir   +2 more
openaire   +2 more sources

Soft rough fuzzy sets and soft fuzzy rough sets

open access: yesComputers & Mathematics with Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meng, Dan, Zhang, Xiaohong, Qin, Keyun
openaire   +1 more source

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