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CATEGORIES OF FUZZY TOPOLOGY IN THE CONTEXT OF GRADED DITOPOLOGIES ON TEXTURES
, 2014 This paper extends the notion of ditopology to the case where openness and closedness are given in terms of a priori unrelated grading functions. The resulting notion of graded ditopology is considered both in the setting of lattices and in that textures,
Brown, L. M., Stak, A.
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Convergence in graded ditopological texture spaces [PDF]
Applied General Topology, 2016 Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander Sostak (see bibliography).
Ramazan Ekmekçi, Rıza Ertürk
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, 2018 In this paper, the concept of graded diextremity is defined on textures as a generalization of diextremities on textures and some properties of graded diextremity are obtained.
Ramazan Ekmekçi
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A Tychonoff theorem for graded ditopological texture spaces
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020 Summary: In this paper, initial and product graded ditopologies are formulated and accordingly it is shown that \(\mathbf{dfGDitop}\) is topological over \(\mathbf{dfTex}\times\mathbf{dfTex} \). By means of spectrum idea, (di)compactness in graded ditological texture spaces is defined as a generalization of (di)compactness in ditopological case and its
R. Ekmekçi
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Connectedness in graded ditopological texture spaces [PDF]
Mathematica MoravicaThe aim of this paper is to introduce two different types of connectedness notions for graded ditopological texture spaces: the connectedness function which gives the grade of connectedness of a set and the connectedness spectrum by means of spectrum ...
Ekmekçı Ramazan
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LM-valued equalities, LM-rough approximation operators and ML-graded ditopologies
Hacettepe Journal of Mathematics and Statistics, 2017 We introduce a certain many-valued generalization of the concept of an $L$-valued equality called an $L^M$-valued equality. Properties of $L^M$-valued equalities are studied and a construction of an $L^M$-valued equality from a pseudo-metric is presented.
Alexander Sostak, Aleksandrs Eckins
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Neighborhood structures of graded ditopological texture spaces
Filomat, 2015 Graded ditopological texture spaces have been presented and discussed in categorical aspects by Alexander Sostak and Lawrence M. Brown in [18]. In this paper, the authors study the generalization of two sorts of neighborhood structure defined in [10] to the graded ditopological texture spaces.
ERTÜRK, RIZA, Ekmekci, Ramazan
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Weak preopen sets and weak bicontinuity in texture spaces [PDF]
, 2022 The aim of this paper is introduce and study the notion of weak preopen sets and weak prebicontinuity on weak structures in texture spaces. It is presented some characterizations of weak prebicontinuity, and a link is given between weak spaces and weak ...
Dost Şenol
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Advanced Materials & Technologies, 2020 Functionally graded materials (FGMs) and functionally graded structures (FGSs) are special types of advanced composites with peculiar features and advantages.
Yan Li +11 more
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Enriched categories and models for spaces of dipaths [PDF]
, 2007 Partially ordered sets, causets, partially ordered spaces and their local counterparts are now often used to model systems in computer science and theoretical physics. The order models `time\u27 which is often not globally given.
Porter, Timothy
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