Results 41 to 50 of about 173 (123)

Some Properties of (1,  2)*‐Locally Closed Sets

open access: yesInternational Journal of Analysis, Volume 2014, Issue 1, 2014., 2014
A new kind of generalization of (1, 2)*‐closed set, namely, (1, 2)*‐locally closed set, is introduced and using (1, 2)*‐locally closed sets we study the concept of (1, 2)*‐LC‐continuity in bitopological space. Also we study (1, 2)*‐contracontinuity and lastly investigate its relationship with (1, 2)*‐LC‐continuity.
Baby Bhattacharya   +3 more
wiley   +1 more source

On T0 fuzzy Bitopological spaces

open access: yesJournal of Bangladesh Academy of Sciences, 2014
In this paper, the authors introduced two notions of fuzzy pairwise-T0 bitopological spaces and compared them with other such concepts. The authors also studied some other properties of these spaces. DOI: http://dx.doi.org/10.3329/jbas.v38i2.21345 Journal of Bangladesh Academy of Sciences, Vol. 38, No.
Amin, M. R., Ali, D. M., Hossain, M. S.
openaire   +3 more sources

$ KC $-bitopological spaces

open access: yesAIMS Mathematics
<p>A topological space $ \left(X, \tau \right) $ is called a $ KC $-space when every compact subset of $ X $ is closed. The aim of this paper is to introduce new, namely $ KC $-bitopological spaces and pairwise $ KC $-topological spaces "$ P $-$ KC $-topological spaces".
Hamza Qoqazeh   +6 more
openaire   +2 more sources

On ℳ𝒜(i,j)‐Continuous Functions in Biminimal Structure Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2013, Issue 1, 2013., 2013
We introduce the notion of ℳ𝒜(i,j)‐continuous functions and some other forms of continuity in biminimal structure spaces. Some new characterizations and several fundamental properties of ℳ𝒜(i,j)‐continuous functions are obtained.
Chawalit Boonpok   +4 more
wiley   +1 more source

Lattice‐Valued Topological Systems as a Framework for Lattice‐Valued Formal Concept Analysis

open access: yesJournal of Mathematics, Volume 2013, Issue 1, 2013., 2013
Recently, Denniston, Melton, and Rodabaugh presented a new categorical outlook on a certain lattice‐valued extension of Formal Concept Analysis (FCA) of Ganter and Wille; their outlook was based on the notion of lattice‐valued interchange system and a category of Galois connections. This paper extends the approach of Denniston et al.
Sergey A. Solovyov, Alfred Peris
wiley   +1 more source

Neutrosophic Crisp Bi-Topological Spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2018
In this paper, neutrosophic crisp bi-topological spaces, new types of open and closed sets in neutrosophic crisp bitopological spaces, the closure and interior neutrosophic crisp set and a new concept of open and closed sets are introduced.
Riad Khidr Al-Hamido
doaj   +1 more source

ON SOME BITOPOLOGICAL SEPARATION AXIOMS

open access: yesJournal of New Theory, 2016
Abstaract−Fletcher et al. [1] introduced the concept of pairwise compactness for bitopological spaces. Reilly extended this concept to a larger class of bitopological spaces, called pairwise Lindel¨of spaces.
Arafa Nasef, Roshdey Mareay
doaj  

Properties of Separation Axioms in Bitopological Spaces

open access: yesJournal of Bangladesh Academy of Sciences, 2020
In this paper, three notions of separation axioms in bitopological space are discussed. Some relations of topology and bitopology in such notions have been found. Further, that these notions are hereditary and topological property are proved. Journal of Bangladesh Academy of Sciences, Vol. 43, No.
Roshmi, Rupaya, Hossain, M. S.
openaire   +2 more sources

On fuzzy b-locally open sets in bitopological spaces [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2015
In this article we introduce the notion of fuzzy b-locally open (bLO) sets, fuzzy bLO* sets, fuzzy bLO** sets in fuzzy bitopological spaces and obtain several characterizations and some properties of these sets.
Binod Chandra Tripathy, Shyamal Debnath
doaj  

Characterizations of Quasi-Metrizable Bitopological Spaces [PDF]

open access: yesJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1988
AbstractIn this paper we prove that a pairwise Hausdorff bitopological space is quasi-metrizable if and only if for each point x ∈ X and for i, j = 1,2, i ≠ j, one can assign nbd bases { S(n, i; x) | n = 1, 2,… } such that (i) y ∉ S (n − 1, i; x) imples S(n, i; x) ∩ S (n, j; y) = φ, (ii) y ∈ S (n, i; x) implies S (n, i; y) ⊂ S(n − 1, i; x). We derive
Raghavan, T. G., Reilly, I. L.
openaire   +2 more sources

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