p-Topologicalness—A Relative Topologicalness in ⊤-Convergence Spaces

Li, Lingqiang

doi:10.3390/math7030228

Cited by 20 publications

(10 citation statements)

References 41 publications

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“…As we can see, (L, M)-fuzzy convergence spaces are closely related to (L, M)-fuzzy topological spaces and (L, M)-fuzzy convex spaces [3,4,9,10,14]. Similar to the compatibility between an (L, M)-fuzzy cotopology and an (L, M)-fuzzy convex structure, it could be possible to discuss the compatibility between an (L, M)-fuzzy convergence structure and an (L, M)-fuzzy convex structure.…”

Section: Discussionmentioning

confidence: 92%

(L,M)-fuzzy topological-convex spaces

Liao

2019

Filomat

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In this paper, the notion of (L, M)-fuzzy topological-convex spaces is introduced and some of its characterizations are obtained. Then the notion of (L, M)-fuzzy convex enclosed relation spaces is introduced and its one-to-one correspondence with (L, M)-fuzzy convex space is studied. Based on this, the notion of (L, M)-fuzzy topological-convex enclosed relation spaces is introduced and its categorical isomorphism to (L, M)-fuzzy topological-convex spaces is discussed.

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Section: Discussionmentioning

confidence: 92%

(L,M)-fuzzy topological-convex spaces

Liao

2019

Filomat

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“…Since the most common feature in decision information is the ambiguity of the information. Therefore, some related researches based on fuzzy information have been proposed [4][5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Multi-Attribute Decision Making Based on Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators

2019

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Take the third-party logistics providers (3PLs) as an example, according to the characteristics of correlation between attributes in multi-attribute decision-making, two Choquet aggregation operators adoping probabilistic neutrosophic hesitation fuzzy elements (PNHFEs) are proposed to cope with the situations of correlation among criterions. This measure not only provides support for the correlation phenomenon between internal attributes, but also fully concerns the incidental uncertainty of the external space. Our goal is to make it easier for decision makers to cope with this uncertainty, thus we establish the notion of probabilistic neutrosophic hesitant fuzzy Choquet averaging (geometric) (PNHFCOA, PNHFCOG) operator. Based on this foundation, a method for aggregating decision makers’ information is proposed, and then the optimal decision scheme is obtained. Finally, an example of selecting optimal 3PL is given to demonstrate the objectivity of the above-mentioned standpoint.

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“…Since Chang [1] introduced fuzzy set theory to topology, fuzzy topology and its related theories have been widely investigated such as [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. The degree approach that equips fuzzy topology and its related structures with some degree description is also an essential character of fuzzy set theory.…”

Section: Introductionmentioning

confidence: 99%

Degrees of L-Continuity for Mappings between L-Topological Spaces

Xiu

2019

Mathematics

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By means of the residual implication on a frame L, a degree approach to L-continuity and L-closedness for mappings between L-cotopological spaces are defined and their properties are investigated systematically. In addition, in the situation of L-topological spaces, degrees of L-continuity and of L-openness for mappings are proposed and their connections are studied. Moreover, if L is a frame with an order-reversing involution , where b = b → ⊥ for b ∈ L, then degrees of L-continuity for mappings between L-cotopological spaces and degrees of L-continuity for mappings between L-topological spaces are equivalent.

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p-Topologicalness—A Relative Topologicalness in ⊤-Convergence Spaces

Cited by 20 publications

References 41 publications

(L,M)-fuzzy topological-convex spaces

(L,M)-fuzzy topological-convex spaces

Multi-Attribute Decision Making Based on Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators

Degrees of L-Continuity for Mappings between L-Topological Spaces

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