Weak structures on texture spaces

Abstract

The purpose of this paper is to introduce and study weak structure on texture spaces. In this context, the notion of weak semi-open sets and weak bicontinuity are defined in weak distructure texture spaces, and is presented some characterization.

Downloads

Download data is not yet available.

Author Biography

Senol Dost, Hacettepe University

Department of Secondary Science and Mathematics Education

References

H. L. Bentley and R. G. Ori, Topology without the union axiom(revisited), Quaestiones Mathematicae, 37, (2014), 265–277. DOI: https://doi.org/10.2989/16073606.2013.779987

L. M. Brown and M. Diker, Ditopological texture spaces and intuitionistic sets, Fuzzy sets and systems 98, (1998), 217–224. DOI: https://doi.org/10.1016/S0165-0114(97)00358-8

L. M. Brown and R. Erturk, Fuzzy Sets as Texture Spaces, I. Representation Theorems, Fuzzy Sets and Systems 110 (2) (2000), 227–236. DOI: https://doi.org/10.1016/S0165-0114(98)00157-2

L. M. Brown and R. Erturk, Fuzzy sets as texture spaces, II. Subtextures and quotient textures, Fuzzy Sets and Systems 110 (2) (2000), 237–245. DOI: https://doi.org/10.1016/S0165-0114(98)00158-4

L. M. Brown, R. Erturk and S. Dost, Ditopological texture spaces and fuzzy topology, I. Basic Concepts, Fuzzy Sets and Systems 147 (2) (2004), 171–199. DOI: https://doi.org/10.1016/j.fss.2004.02.009

S. Dost, Textures and Base spaces, South Asian Journal of Mathematics, 9 (1) (2019), 12–18.

S. Dost, Precise Sets in Approximation Spaces and Textures, Fundamenta Informaticae, 158 (4) (2018), 353–368. DOI: https://doi.org/10.3233/FI-2018-1652

S. Dost, Metric spaces and textures, Applied General Topology, 18 (1) (2017), 203–217. DOI: https://doi.org/10.4995/agt.2017.6889

S. Dost, Quotient structure of interior-closure texture spaces, Filomat, 29 (5) (2015), 947–962. DOI: https://doi.org/10.2298/FIL1505947D

S. Dost, A textural view of soft fuzzy rough sets, Journal of Intelligent & Fuzzy Systems, 28 (6) (2016), 2519–2535. DOI: https://doi.org/10.3233/IFS-151531

S. Dost, Serial relation and textural rough set, Mathematica Moravica, 25 (2) (2021), 69–79. DOI: https://doi.org/10.5937/MatMor2102069D

S. Dost, Minimal and maximal open sets in ditopological texture space, Scientia Magna, 16 (1) (2021), 72–78.

S. Dost, L. M.Brown, Intuitionistic Textures Revisited, Hacettepe Journal of Mathematics and Statistics, 34 (2) (2005), 115–130.

R. Ekmekci, Graded Diextremities, Filomat, 32 (1) (2018), 149–164. DOI: https://doi.org/10.2298/FIL1801149E

R. Ekmekci, A Tychonoff Theorem For Graded Ditopological Texture Spaces, Communications Faculty Of Science University Of Ankara Series A1mathematics and Statistics (69)1, 193–212. DOI: https://doi.org/10.31801/cfsuasmas.567501

M. Kule and S. Dost, A textural view of soft fuzzy rough sets, Annals of Fuzzy Mathematics and Informatics, 12 (1) (2016), 47–62.

W. K. Min and Y. K. Kim, On Weak Structures and w- spaces, Far East Journal of Mathematical Sciences, 97(5) (2015), 549-561. 549–561. DOI: https://doi.org/10.17654/FJMSJul2015_549_561

W. K. Min and Y. K. Kim, w-Semi open sets and w-semicontinuity in weak spaces, Int. Journal of Pure and Applied Mathematics, 110 (1) (2016), 49–56. DOI: https://doi.org/10.12732/ijpam.v110i1.5

Published
2022-12-28
Section
Articles