The lattice structure of the soft groups

Shao, Yingchao; Qin, Keyun

doi:10.1016/j.proeng.2011.08.678

Cited by 6 publications

(3 citation statements)

References 11 publications

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“…The soft set theory has been applied to many different fields (see, for example, [1], [2], [4], [5], [7], [8], [10], [12], [13], [14], [15], [21], [23], [25]).…”

Section: Preliminariesmentioning

confidence: 99%

Soft set theory and topology

Georgiou

Megaritis

2014

Appl.Gen.Topol.

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In this paper we study and discuss the soft set theory giving new definitions, examples, new classes of soft sets, and properties for mappings between different classes of soft sets. Furthermore, we investigate the theory of soft topological spaces and we present new definitions, characterizations, and properties concerning the soft closure, the soft interior, the soft boundary, the soft continuity, the soft open and closed maps, and the soft homeomorphism.

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“…The soft set theory has been applied to many different fields (see, for example, [1], [2], [4], [5], [7], [8], [10], [12], [13], [14], [15], [21], [23], [25]).…”

Section: Preliminariesmentioning

confidence: 99%

Soft set theory and topology

Georgiou

Megaritis

2014

Appl.Gen.Topol.

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“…The soft set theory has been applied to many different fields (see, for example, [1], [2], [4], [5], [7], [8], [11], [12], [13], [14], [15], [16], [22], [25], [27]). …”

Section: Preliminariesmentioning

confidence: 99%

On Soft Topological Spaces

Georgiou¹,

Megaritis²,

Petropoulos³

2013

Appl. Math. Inf. Sci.

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Abstract:The classical mathematical theories have their difficulties which are pointed out in [18] for the solution complicated problems in engineering and environment. To overcome these difficulties, Molodtsov [18] introduced the concept of soft set as a new mathematical tool. Furthermore, D. Pei and D. Miao [22] showed that soft sets are a class of special information systems. In [9] for the soft set theory: new definitions, examples, new classes of soft sets, and properties for mappings between different classes of soft sets are introduced and studied. Moreover, the theory of soft topological spaces is investigated. This paper continues the study of the theory of soft topological spaces and presents for this theory new definitions, characterizations, and results concerning separation axioms, convergence, Cartesian product, soft θ -topology, and soft θ -continuity.

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“…Xia Yin and Zuhua Liao [21] studied about the concept of soft groups. The lattice structure of the soft group was offered by Yingehao Shao and Keyun Qin [22]. M.I.Ali et al [4] introduced the lattice ordered soft set and obtained some of its properties.…”

Section: Introductionmentioning

confidence: 99%