Fuzzy Pre-semi-closed Sets

被引:0
|
作者
Murugesan, S. [1 ]
Thangavelu, P. [2 ]
机构
[1] Sri SR Naidu Mem Coll, Dept Math, Satur 626203, India
[2] Aditnar Coll Arts & Sci, Dept Math, Trichendur, India
关键词
Fuzzy generalized closed sets; fuzzy semi-pre-closed sets; fuzzy T-1/2 space; fuzzy semi-T-1/2 space;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce fuzzy pre-semi-closed sets in fuzzy topological spaces and investigate their properties. Using fuzzy pre-semi-closed sets, equivalences of fuzzy regular open sets are established. As applications to fuzzy pre-semi-closed sets, we introduce fuzzy spaces with new kinds of separation axioms, namely, fuzzy pre-semi-T-1/2 spaces, fuzzy pre-semi-T-3/4 spaces and fuzzy semi-pre-T-1/3 spaces and characterize them.
引用
收藏
页码:223 / 232
页数:10
相关论文
共 50 条
  • [1] Fuzzy θ-semi-generalized closed sets
    Wahab, N. A. Abdul
    Salleh, Z.
    INTERNATIONAL CONFERENCE ON ADVANCEMENT IN SCIENCE AND TECHNOLOGY 2012 (ICAST): CONTEMPORARY MATHEMATICS, MATHEMATICAL PHYSICS AND THEIR APPLICATIONS, 2013, 435
  • [2] Fuzzy θ-Generalized Semi-Closed Sets
    Wahab, Nurul Adilla Farhana Abdul
    Salleh, Zabidin
    PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM20): RESEARCH IN MATHEMATICAL SCIENCES: A CATALYST FOR CREATIVITY AND INNOVATION, PTS A AND B, 2013, 1522 : 976 - 985
  • [3] On fuzzy soft semi-pre-open sets and fuzzy soft semi-pre-continuous mappings
    Hussain, Sabir
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2017, 46 (05): : 851 - 863
  • [4] Intuitionistic Fuzzy alpha-Generalized Semi Closed Sets
    Jeyaraman, M.
    Ravi, O.
    Yuvarani, A.
    THAI JOURNAL OF MATHEMATICS, 2016, 14 (03): : 757 - 769
  • [5] θ-Semi-Generalized Closed Sets in Fuzzy Topological Spaces
    Salleh, Zabidin
    Wahab, N. A. F. Abdul
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (04) : 1151 - 1164
  • [6] Closed and convex fuzzy sets
    Syau, YR
    FUZZY SETS AND SYSTEMS, 2000, 110 (02) : 287 - 291
  • [7] SEMI GENERALIZED OPEN SETS AND GENERALIZED SEMI CLOSED SETS IN TOPOLOGICAL SPACES
    Hassan, Abdelgabar Adam
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2020, 18 (06): : 1029 - 1036
  • [8] On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy AB(I)-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI-Continuity
    Abbas, Fadhil
    Yildiz, Cemil
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2011, 24 (04): : 731 - 738
  • [9] ψ*-closed sets in fuzzy topological spaces
    M. A. Abd Allah
    A. S. Nawar
    Journal of the Egyptian Mathematical Society, 28 (1)
  • [10] On Fuzzy γ*-Locally Closed Sets and Their Applications
    Bhattacharya, B.
    Chakraborty, J.
    Paul, A.
    Sree Anusha, G.
    2017 JOINT 17TH WORLD CONGRESS OF INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND 9TH INTERNATIONAL CONFERENCE ON SOFT COMPUTING AND INTELLIGENT SYSTEMS (IFSA-SCIS), 2017,