Soft somewhat open sets: soft separation axioms and medical application to nutrition

Al-shami, Tareq M.

doi:10.1007/s40314-022-01919-x

Cited by 43 publications

(21 citation statements)

References 38 publications

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“…Shabir and Naz [3] studied the topological structures of S sets. Ten, many contributions have been conducted to soft topologies by many authors; see for example [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

On Some New Types of Fuzzy Soft Compact Spaces

Saleh

Al-shami

Mhemdi

2023

Journal of Mathematics

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In this article, we apply the concept of fuzzy soft δ -open sets to define new types of compactness in fuzzy soft topological spaces, namely, δ -compactness and δ ∗ -compactness. We explore some of their basic properties and reveal the relationships between these types and that which are defined by other authors. Also, we show that δ ∗ -compactness is more general than that which is presented in other papers. To clarify the obtained results and relationships, some illustrative examples are given.

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“…Shabir and Naz [3] studied the topological structures of S sets. Ten, many contributions have been conducted to soft topologies by many authors; see for example [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

On Some New Types of Fuzzy Soft Compact Spaces

Saleh

Al-shami

Mhemdi

2023

Journal of Mathematics

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“…The characteristics of parameter sets associated with soft sets provide a standardized foundation for modeling uncertainty. This led to the rapid growth of soft set theory and its relevant areas in a short amount of time and provided various applications of soft sets in real life, such as medical diagnosis [5,6], evaluation of nutrition systems [7], decision making [8], analysis of networks [9], and information systems [10,11]. To face more complicated problems, some extensions of soft sets were embraced, such as bipolar soft sets and double-framed soft sets, and their efficiency to address practical problems was demonstrated, as illustrated in [12,13].…”

Section: Introductionmentioning

confidence: 99%

The Relationship between Ordinary and Soft Algebras with an Application

et al. 2023

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This work makes a contribution to the theory of soft sets. It studies the concepts of soft semi-algebras and soft algebras, along with some operations. Then, it examines the relations of soft algebras set to their ordinary (crisp) counterparts. Among other things, we show that every algebra of soft sets induces a collection of ordinary algebras of sets. By using the formulas (in Theorem 7 and Corollary 1), we present a novel construction, allowing us to construct a soft algebra from a system of ordinary algebras of sets. Two examples are presented to show how these formulas can be used in practice. This approach is general enough to be applied to many other (soft) algebraic properties and shows that ordinary algebras contain instruments enabling us to construct soft algebras and to study their properties. As an application, we demonstrate how elements of the generated soft algebra can be used to describe the weather conditions of a region.

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“…Recently, topology has been applied to model some real-life issues as showed in [1,11,15,16,32,46,56,64]. To study topology via S-set theory, C ¸aǧman et al [51] and Shabir and Naz [65], in 2011, introduced the concept of soft topology(ST).…”

Section: Introductionmentioning

confidence: 99%

On b-open Sets via Infra Soft Topological Spaces

Abu-Gdairi¹,

Al-Shamiri²,

Saleh³

et al. 2022

Eur. J. Pure Appl. Math.

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This work aims to present the concept of infra soft $b$-open sets(IS-b-open sets) as a generalized new class of infra open sets(IS-open sets). We first investigate their basic properties and study their behaviours under infra soft homeomorphism maps and finite product of soft spaces. Then, we establish some soft operators such as interior, closure, limit and boundary using IS-b-open sets and IS-$b$-closed sets. The relationships between them are illustrated and discussed. Finally, we display some soft maps(S-map) defined using IS-$b$-open and IS-$b$-closed sets and scrutinize their master properties.

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Soft somewhat open sets: soft separation axioms and medical application to nutrition

Cited by 43 publications

References 38 publications

On Some New Types of Fuzzy Soft Compact Spaces

On Some New Types of Fuzzy Soft Compact Spaces

The Relationship between Ordinary and Soft Algebras with an Application

On b-open Sets via Infra Soft Topological Spaces

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