2018
DOI: 10.3329/jbas.v42i1.37834
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Level Separation on Intuitionistic Fuzzy T1 Spaces

Abstract: Intuitionistic fuzzy T1 spaces are defined and studied in this paper. Eight new notions of intuitionistic fuzzy T1 spaces are defined and some relationship among them has been investigated. Some relations between the defined notions and other given notions of intuitionistic fuzzy T1 spaces has also been investigated. Under some conditions it is observed that image and preimage preserve intuitionistic fuzzy T1 spaces. Hereditary and productive property of such spaces has been also investigated.

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Cited by 6 publications
(6 citation statements)
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“…Coker [11, 12, 14|-17] and his colleagues introduced intuitionistic fuzzy topological spaces and connectedness in intuitionistic fuzzy topological spaces was introduced by Ozcag and Coker [29]. Islam et al [23,24], S. Das [18], Lee et al [25,26], Minana et al [28], M. Barile [10], R. Srivastava et al [33,34], Tiwari et al [38], Estiaq Ahmed et al [1][2][3][4][5], L. Ying-Ming et al [39], Talukder et al [35], Fang et al [19], Hasan et al [20], Tamilmani [37], R. Islam et al [22], M. K. Ahmad et al [6], A. M. Ali et al [7,8], Ramadan et al [30], Immaculate et al [21] and N. X. Tan et al [36] subsequently developed the study of intuitionistic fuzzy topological spaces by using intuitionistic fuzzy sets. In this paper, we define six new notions of separatedness, connectedness and total connectedness and one notion of 1 -space in intuitionistic fuzzy topological space and some of their features.…”
Section: Introductionmentioning
confidence: 99%
“…Coker [11, 12, 14|-17] and his colleagues introduced intuitionistic fuzzy topological spaces and connectedness in intuitionistic fuzzy topological spaces was introduced by Ozcag and Coker [29]. Islam et al [23,24], S. Das [18], Lee et al [25,26], Minana et al [28], M. Barile [10], R. Srivastava et al [33,34], Tiwari et al [38], Estiaq Ahmed et al [1][2][3][4][5], L. Ying-Ming et al [39], Talukder et al [35], Fang et al [19], Hasan et al [20], Tamilmani [37], R. Islam et al [22], M. K. Ahmad et al [6], A. M. Ali et al [7,8], Ramadan et al [30], Immaculate et al [21] and N. X. Tan et al [36] subsequently developed the study of intuitionistic fuzzy topological spaces by using intuitionistic fuzzy sets. In this paper, we define six new notions of separatedness, connectedness and total connectedness and one notion of 1 -space in intuitionistic fuzzy topological space and some of their features.…”
Section: Introductionmentioning
confidence: 99%
“…Later, the concept of an intuitionistic fuzzy topological space and some of their main properties were introduced by D. Çoker and his coworkers [8,[10][11][12]. Moreover, separation axioms of fuzzy topological spaces and intuitionistic fuzzy topological spaces were explored by many fuzzy topologists [3,14,15,16,17,[20][21][22][23], especially Al-Qubati et. al.…”
Section: Introductionmentioning
confidence: 99%
“…Coker and coworker [5,6,7,] introduced the basic concepts of the theory of intuitionistic fuzzy topological spaces. Since then, Coker et al [8], Singh et al [9], Lee et al [10], Saadati et al [11], Ahmed et al [12,13,14,15,16] , Mahabub et al [18,19,20] and Saiful et al [23,24,25] subsequently initiated a study of intuitionistic fuzzy topological spaces by using intuitionistic fuzzy sets. Various researchers work particularly on intuitionistic fuzzy regular spaces [17].…”
Section: Introductionmentioning
confidence: 99%