CONNECTEDNESS IN INTUITIONISTIC FUZZY TOPOLOGICAL SPACES

被引:0
作者
Srivastava, Rekha [1 ]
Singh, Amit Kumar [1 ]
机构
[1] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India
来源
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2011年 / 64卷 / 09期
关键词
intuitionistic fuzzy set; intuitionistic fuzzy topological space; connectedness; SETS; CONNECTIVITY;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper we have introduced and studied 2(alpha,beta)-connectedness and D-connectedness in an intuitionistic fuzzy topological space as extensions of 2(alpha)-connectedness and D-connectedness respectively in a fuzzy topological space (given by Lowen and Srivastava) and proved some basic results related to it. We have also introduced some other type of connectedness in an intuitionistic fuzzy topological space and studied the relationships among them.
引用
收藏
页码:1241 / 1250
页数:10
相关论文
共 26 条
[11]  
FATTEH UV, 1985, J MATH ANAL APPL, V3, P449
[12]   PRODUCTS OF FUZZY TOPOLOGICAL SPACES [J].
Hutton, Bruce .
TOPOLOGY AND ITS APPLICATIONS, 1980, 11 (01) :59-67
[13]   CONNECTEDNESS IN FUZZY TOPOLOGICAL-SPACES [J].
LOWEN, R .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1981, 11 (03) :427-433
[14]   ON PREUSS CONNECTEDNESS CONCEPT IN FTS [J].
LOWEN, R ;
SRIVASTAVA, AK .
FUZZY SETS AND SYSTEMS, 1992, 47 (01) :99-104
[15]   FUZZY TOPOLOGICAL-SPACES AND FUZZY COMPACTNESS [J].
LOWEN, R .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 56 (03) :621-633
[16]   E-CONNECTED SPACES [J].
PREUSS, G .
MANUSCRIPTA MATHEMATICA, 1970, 3 (04) :331-&
[17]   SEPARATION AND CONNECTIVITY [J].
PREUSS, G .
MONATSHEFTE FUR MATHEMATIK, 1970, 74 (01) :70-&
[18]  
PU PM, 1980, J MATH ANAL APPL, V77, P20
[19]  
PU PM, 1980, J MATH ANAL APPL, V76, P571
[20]   CONNECTIVITY AND THE L-FUZZY UNIT INTERVAL [J].
RODABAUGH, SE .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1982, 12 (01) :113-121