New Results On Intuitionistic Fuzzy Soft Topological Space

Authors

  • 1University of Thi-Qar – College of Nursing, Iraq

DOI:

https://doi.org/10.32792/jeps.v12i1.155

Keywords:

Intuitionistic fuzzy soft set, IFSTS, quasi-coincident, base of IFSTS, IFS closure, IFS interior

Abstract

In this paper , We introduce the notion of intuitionistic fuzzy soft topological space in
intuitionistic fuzzy soft set theory . Also , We introduce a quasi-coincident relation and Qintuitionistic
fuzzy soft neighborhood . system . Also the concepts of intuitionistic fuzzy soft base ,
intuitionistic fuzzy soft sub base are introduced her and established some important theorems . and
introduced the base for generated intuitionistic fuzzy soft topological space

References

D.A.Molodstov , soft set Theory-First Result, Computers and Math . Appl . 37 (1999) 19-31 .

K . T . Atanassov , Intuitionistic fussy sets ,Fuzzy Sets and systems . 20 (1986) 87– 96.

P .K .Maji , R . Bi Swas and A.R. Roy , Intuitionistic fuzzy soft sets , J . Fuzzy Math . , 9(3) (2001)

-693

M. Bora , T .J. Neog and D . K . Sut , Some new operations of intuitionistic fuzzy soft sets ,

International Journals of soft Computing and Engineering , 2 (2012) 2231-2307 .

Z . Li and R . Cui ,on the topological structure of intuitionistic fuzzy soft sets , Ann. Fuzzy Math.

Inform , 5 (2013) 229-239 .

I .Osmanoglu , and D . Tokat , On Intuitionistic Fuzzy Soft Topology , Gen . Math . Notes , 19 (2013)

-70 .

S . Roy , T . K . Samanta , A note on fuzzy soft topological Spaces , Annals of Fuzzy Mathematics

and Informatics 3(2) (2012) 305-311 .

SADI BAYRAMO????1 , CIGDEM GUNDUZ (ARAS)2 , ON INTUITIONISTIC FUZZY SOFT

TOPOLOGICAL SPACES , TWMSJ . Pure APPL . Math . v . 5 , N . 1 ,2014 ,PP . 66 -79 .

C.L .Chang , Fuzzy Topological Space , J. Math. Appl. 24 , 182-193 , 1968 .

J. Mahanta and P. K. Das , Results on Fuzzy soft Topological Spaces , ar Xiv : 1203. 0634vl , 2012 .

A. A. Nasef and R. A. Mahmoud , Some Topological Applications via Fuzzy Ideals , chaos , Solitons

and Fractals , 13(2002) , 825-831 .

B. Pazar Varol and H. Ayg????̈n , Fuzzy Set Topology , Hacettepe Journal of Mathematics and

statistics , 41(3) (2012) 407-419 .

M. Shabir and M. Naz , On Soft Topological Spaces , Computers and Math-ematics with

Applications 61 , 1786-1799 , 2011 .

B. Tanay and M. B. Kandemir , Topological Structures of Fuzzy Soft Sets , Computers and

Mathematics with Application 61 , 412-418 , 2011 .

S. Roy and T. K. Samanta , An Introduction to open and closed sets on Fuzzy Topological Spaces ,

Annals of Fuzzy Mathematics and Informatics , 2(6) , (2013) , 425-431 .

T. Simsekler and S. Yuksel , Fuzzy Soft Topological Spaces , Ann. Fuzzy Math. Inform , Vol. x

,pp.1-x , 2012 .

T. Jyotineog and D. K. Sut , Some New Operation of Fuzzy Soft Sets , J. Math. Comput. Sc. 2(2012)

, No. 5, 1186-1199 .

Atanassov , K. , (1994) , Operators over interval valued intuitionistic fuzzy sets , Fuzzy Sets and

Systems , 64 , pp. 159-174 .

L.A. Zadeh , Fuzzy sets ,Inform .And control , 8(1965) 338-353 .

D. Coker and M.Demirci , on intuitionistic fuzzy points , Notes IFS . 1(1995)79-84

Downloads

Published

2023-01-17

Issue

Vol. 12 No. 1 (2022): Journal of Education for Pure Science- University of Thi-Qar

Section

Articles

License

The Authors understand that, the copyright of the articles shall be assigned to Journal of education for Pure Science (JEPS), University of Thi-Qar as publisher of the journal.

Copyright encompasses exclusive rights to reproduce and deliver the article in all form and media, including reprints, photographs, microfilms and any other similar reproductions, as well as translations. The reproduction of any part of this journal, its storage in databases and its transmission by any form or media, such as electronic, electrostatic and mechanical copies, photocopies, recordings, magnetic media, etc. , will be allowed only with a written permission from Journal of education for Pure Science (JEPS), University of Thi-Qar.

Journal of education for Pure Science (JEPS), University of Thi-Qar, the Editors and the Advisory International Editorial Board make every effort to ensure that no wrong or misleading data, opinions or statements be published in the journal. In any way, the contents of the articles and advertisements published in the Journal of education for Pure Science (JEPS), University of Thi-Qar are sole and exclusive responsibility of their respective authors and advertisers.