Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Abdelwaheb Mhemdi"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 10363-10385 (2024)
In this paper, we present a novel family of soft sets named "finite soft-open sets". The purpose of investigating this kind of soft sets is to offer a new tool to structure topological concepts that are stronger than their existing counterparts produ
Externí odkaz:
https://doaj.org/article/a0aaaafda21746c38b3fa9635a358ff4
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 6305-6320 (2024)
In the present paper, we introduce and discuss a new set of separation properties in fuzzy soft topological spaces called $ FS\delta $-separation and $ FS\delta $-regularity axioms by using fuzzy soft $ \delta $-open sets and the quasi-coincident rel
Externí odkaz:
https://doaj.org/article/a2c3a8e3f50e40b7b18ea683bb703396
Publikováno v:
AIMS Mathematics, Vol 8, Iss 8, Pp 18185-18205 (2023)
Data uncertainty is a barrier in the decision-making (DM) process. The rough set (RS) theory is an effective approach to study the uncertainty in data, while bipolar soft sets (BSSs) can handle the vagueness and uncertainty as well as the bipolarity
Externí odkaz:
https://doaj.org/article/f2461ef3eaa8414785832c73d70c1865
Publikováno v:
AIMS Mathematics, Vol 8, Iss 6, Pp 14850-14866 (2023)
The paper presents a novel analysis of interrelations between ordinary (crisp) $ \sigma $-algebras and soft $ \sigma $-algebras. It is known that each soft $ \sigma $-algebra produces a system of crisp (parameterized) $ \sigma $-algebras. The other w
Externí odkaz:
https://doaj.org/article/9524d639ca5741879ca540ab5e381dab
Publikováno v:
Alexandria Engineering Journal, Vol 69, Iss , Pp 497-520 (2023)
The theory of rough set is a robust approach to face uncertainty by classifying the data under study into three main regions. The main principles of this theory are approximation operators and accuracy measures, so improving them has been a major goa
Externí odkaz:
https://doaj.org/article/ac7de90b55374cdbbc40f912022459b7
Autor:
Tareq M. Al-shami, Abdelwaheb Mhemdi
Publikováno v:
AIMS Mathematics, Vol 8, Iss 5, Pp 11373-11396 (2023)
In this work, we present some concepts that are considered unique ideas for topological structures generated by soft settings. We first define the concept of weakly soft α-open subsets and characterize it. It is demonstrated the relationships betwee
Externí odkaz:
https://doaj.org/article/f93e2efc6f084a6f846eedf758b9305e
Autor:
Tareq M. Al-shami, Abdelwaheb Mhemdi
Publikováno v:
Heliyon, Vol 9, Iss 11, Pp e21472- (2023)
In this work, we adopt a new approach to study a new class of soft sets depending on the generalizations of open subsets in the parametric topological spaces. We first define the class of soft parametric somewhat-open sets and explore its basic featu
Externí odkaz:
https://doaj.org/article/c383ec3cb33147f88ff9cb13c1c37d17
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 8928-8948 (2023)
A new generalization of classical topology, namely infra topology was introduced. The importance of studying this structure comes from two matters, first preserving topological properties under a weaker condition than topology, and second, the possib
Externí odkaz:
https://doaj.org/article/8a4334b571e24bd1a7f68c3fac58638e
Publikováno v:
AIMS Mathematics, Vol 8, Iss 2, Pp 2995-3025 (2023)
Many models of uncertain knowledge have been designed that combine expanded views of fuzziness (expressions of partial memberships) with parameterization (multiple subsethood indexed by a parameter set). The standard orthopair fuzzy soft set is a ver
Externí odkaz:
https://doaj.org/article/a5da2ec4bdea44efb925966eb68d785a
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 815-840 (2023)
This paper is devoted to study the concepts of compactness, Lindelöfness and connectedness via the class of soft somewhat open sets which represents one of the generalizations of soft open sets. Beside investigation the main properties of these conc
Externí odkaz:
https://doaj.org/article/57e373267ba8496ba30b9341bcbf7f68