FUZZY ALMOST CONTINUITY AND ITS POINTWISE CHARACTERIZATION BY DUAL POINTS AND FUZZY NETS

被引：8

作者：

AJMAL, N ^{[1
]}

AZAD, SK ^{[1
]}

机构：

[1] UNIV DELHI,RAJDHANI COLL,DEPT MATH,DELHI 110007,INDIA

来源：

FUZZY SETS AND SYSTEMS | 1990年 / 34卷 / 01期

关键词：

fuzzy almost continuity; fuzzy net; fuzzy point; fuzzy weak continuity; neighbourhood; Q-neighbourhood; Quasi-coincidence;

D O I：

10.1016/0165-0114(90)90129-T

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We introduce the notions of fuzzy almost continuity and fuzzy weak continuity at a fuzzy point. Following the pointwise approach, we investigate their fuzzy topological properties. We also obtain a pointwise characterization of fuzzy almost continuous functions by dual points and fuzzy nets. The main idea behind this work is to establish a local theory in the study of continuity and its weaker forms in general fuzzy topological spaces. © 1990.

引用

页码：81 / 101

页数：21

共 50 条

[1] ON FUZZY SEMICONTINUITY, FUZZY ALMOST CONTINUITY AND FUZZY WEAKLY CONTINUITY
AZAD, KK
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 82 (01) : 14 - 32
[2] VARIOUS FUZZY TOPOLOGICAL NOTIONS AND FUZZY ALMOST CONTINUITY
AJMAL, N
SARMA, RD
FUZZY SETS AND SYSTEMS, 1992, 50 (02) : 209 - 223
[3] Fuzzy continuity of almost linear operators
Burgin, M., 1600, IGI Global (03):
[4] Contra Continuity and Almost Contra Continuity in Generalized Fuzzy Topological Spaces
Bhattacharya, Baby
Chakraborty, Jayasree
INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2014 (ICOMEIA 2014), 2015, 1660
[5] Contra Continuity and Almost Contra Continuity in Generalized Fuzzy Topological Spaces
Bhattacharya, Baby
Chakraborty, Jayasree
INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2014 (ICOMEIA 2014), 2015, 1660
[6] CHARACTERIZATION OF FUZZY TOPOLOGIES FROM NEIGHBORHOODS OF FUZZY POINTS
DEMITRI, C
PASCALI, E
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 93 (01) : 1 - 14
[7] DUAL OF GENERALIZED ALMOST DISTRIBUTIVE FUZZY LATTICES
Sangeetha, T.
Selvi, S. Senthamil
ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 21 (02): : 755 - 762
[8] Fuzzy continuous function and its application to fuzzy neural nets (I)
Wu, C
Wu, CX
2003 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-5, PROCEEDINGS, 2003, : 2534 - 2536
[9] COMMON FIXED POINTS WITHOUT CONTINUITY IN FUZZY METRIC SPACES
Sharma, Sushil
Deshpande, Bhavana
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2005, 12 (04): : 289 - 306
[10] RESEARCH ON FUZZY CONTINUITY AND ITS WEAKER FORMS
ZHONG, BS
FUZZY SETS AND SYSTEMS, 1993, 53 (03) : 359 - 359

← 1 2 3 4 5 →