Results 41 to 50 of about 140 (131)

Generalized Open Sets in Neutrosophic Soft Bitopological Spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
In this study, some generalized neutrosophic soft open sets are defined in neutrosophic soft bitopological spaces. Also, some theorems related to the subject have been given with their proofs and supported with examples for a better understanding of the ...
Sibel Demiralp, Hasan Dadas
doaj   +1 more source

Asymmetric maximal and minimal open sets [PDF]

open access: yesMathematica Moravica, 2016
We introduce the notions of maximal and minimal open sets in bitopological spaces and obtain some properties of them. In contrary to maximal and minimal open sets in topological spaces, we observe that maximal and minimal open sets in bitopological ...
Mukharjee Ajoy   +2 more
doaj  

An in-depth exploration of intuitionistic fuzzy T₀ in the context of bitopology [PDF]

open access: yesNotes on IFS
Intuitionistic fuzzy topological space and bitopological space have been introduced by using the concepts of intuitionistic fuzzy sets which are the generalizations of interval valued fuzzy sets.
Saikh Shahjahan Miah   +2 more
doaj   +1 more source

A note on the comparison of topologies

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
A considerable problem of some bitopological covering properties is the bitopological unstability with respect to the presence of the pairwise Hausdorff separation axiom.
Martin M. Kovár
doaj   +1 more source

On γ - locally closed sets in fuzzy bitopological space [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2018
The main objective of this paper is to introduce the notion of (i, j)-fuzzy γ -locally closed set in fuzzy bitopological space and to obtain various basic properties of the new notion.
Arnab Paul   +2 more
doaj   +1 more source

On Tri‐α‐Open Sets in Fuzzifying Tritopological Spaces

open access: yesAdvances in Fuzzy Systems, Volume 2019, Issue 1, 2019., 2019
In this paper, we introduced and studied (1,2,3)‐α‐open set, (1,2,3)‐α‐neighborhood system, (1,2,3)‐α‐derived, (1,2,3)‐α‐closure, (1,2,3)‐α‐interior, (1,2,3)‐α‐exterior, (1,2,3)‐α‐boundary, (1,2,3)‐α‐convergence of nets, and (1,2,3)‐α‐convergence of filters in fuzzifying tritopological spaces.
Barah M. Sulaiman   +2 more
wiley   +1 more source

A Hofmann–Mislove theorem for bitopological spaces

open access: yesThe Journal of Logic and Algebraic Programming, 2007
A `frame' is a complete lattice in which finite meets distribute over arbitrary joins. A frame homomorphism preserves finite meets and arbitrary joins leading to the category Frm. There is a dual adjunction between Top and Frm. With the duality between topological spaces and frames the authors have presented a Stone duality for bitopological spaces. In
Achim Jung, M. Andrew Moshier
openaire   +2 more sources

Intuitionistic Smooth Bitopological Spaces and Continuity [PDF]

open access: yesInternational Journal of Fuzzy Logic and Intelligent Systems, 2014
In this paper, we introduce intuitionistic smooth bitopological spaces and the notions of intuitionistic fuzzy semiinterior and semiclosure. Based on these concepts, the characterizations for the intuitionistic fuzzy pairwise semicontinuous mappings are obtained.
Jin Tae Kim, Seok Jong Lee
openaire   +1 more source

A New Approach to Hausdorff Space Theory via the Soft Sets

open access: yesMathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016
The aim of this paper is to present the concept of soft bitopological Hausdorff space (SBT Hausdorff space) as an original study. Firstly, I introduce some new concepts in soft bitopological space such as SBT point, SBT continuous function, and SBT homeomorphism. Secondly, I define SBT Hausdorff space.
Güzide Şenel, Anna M. Gil-Lafuente
wiley   +1 more source

On extension of pairwise θ-continuous maps

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
The aim of the paper is to find suitable conditions so as to ultimately establish the existence and uniqueness of the extension of a pairwise θ-continuous map onto an arbitrary extension-space of a bitopological space.
S. K. Sen, M. N. Mukherjee
doaj   +1 more source

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