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r-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES

Year 2015, Issue: 4 , 60 - 73 , 01.05.2015

Osama A. E. Tantawy Rasha N. Majeed Sobhy A. El-sheikh

https://izlik.org/JA47MG79YH

Abstract

− In [34] we introduced the notion of r-(τi, τj)-θ-generalized fuzzy closed sets in smoothbitopological spaces by using (τiθ-fuzzy closure, denoted Cθon smooth bitopological spaces by using smooth supra topological space(X, τ12) which is generated from smooth bitopological space (X, τ1, τ) [1], such that Cθ≤ Tτi. Inthis paper, we introduce a new class of r-θ-generalized fuzzy closed sets, namely, r-τ12-θ-gfc in smoothbitopological spaces via Cθ-fuzzy closure operator. The basic properties of these sets are studied.Furthermore, the relationship with other notions of r-generalized fuzzy closed sets in [31, 32, 33, 34]are investigated and we give many examples for reverse. In addition, by using r-τ12-θ-gfc sets, wedefine a new fuzzy closure operator which generates a new smooth topology. Finally, generalized fuzzyθ-continuous (resp. irresolute) and fuzzy strongly θ-continuous mappings are introduced and some oftheir properties are studied

Keywords

− Smooth topology θ-generalized fuzzy closed generalized fuzzy closure operator generalized fuzzy θ-continuous mapping generalized fuzzy θ-irresolute mapping fuzzy strongly θ- continuousmapping

Year 2015, Issue: 4 , 60 - 73 , 01.05.2015

Osama A. E. Tantawy Rasha N. Majeed Sobhy A. El-sheikh

https://izlik.org/JA47MG79YH

Abstract

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Details

Other ID JA75TJ42EZ
Authors

Osama A. E. Tantawy This is me

Rasha N. Majeed This is me

Sobhy A. El-sheikh This is me

Submission Date May 1, 2015
Publication Date May 1, 2015
IZ https://izlik.org/JA47MG79YH
Published in Issue Year 2015 Issue: 4

Cite

APA Tantawy, O. A. E., Majeed, R. N., & El-sheikh, S. A. (2015). r-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES. Journal of New Theory, 4, 60-73. https://izlik.org/JA47MG79YH
AMA 1.Tantawy OAE, Majeed RN, El-sheikh SA. r-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES. JNT. 2015;(4):60-73. https://izlik.org/JA47MG79YH
Chicago Tantawy, Osama A. E., Rasha N. Majeed, and Sobhy A. El-sheikh. 2015. “R-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES”. Journal of New Theory, nos. 4: 60-73. https://izlik.org/JA47MG79YH.
EndNote Tantawy OAE, Majeed RN, El-sheikh SA (May 1, 2015) r-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES. Journal of New Theory 4 60–73.
IEEE [1]O. A. E. Tantawy, R. N. Majeed, and S. A. El-sheikh, “r-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES”, JNT, no. 4, pp. 60–73, May 2015, [Online]. Available: https://izlik.org/JA47MG79YH
ISNAD Tantawy, Osama A. E. - Majeed, Rasha N. - El-sheikh, Sobhy A. “R-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES”. Journal of New Theory. 4 (May 1, 2015): 60-73. https://izlik.org/JA47MG79YH.
JAMA 1.Tantawy OAE, Majeed RN, El-sheikh SA. r-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES. JNT. 2015;:60–73.
MLA Tantawy, Osama A. E., et al. “R-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES”. Journal of New Theory, no. 4, May 2015, pp. 60-73, https://izlik.org/JA47MG79YH.
Vancouver 1.Osama A. E. Tantawy, Rasha N. Majeed, Sobhy A. El-sheikh. r-τ12-θ-GENERALIZED FUZZY CLOSED SETS IN SMOOTH BITOPOLOGICAL SPACES. JNT [Internet]. 2015 May 1;(4):60-73. Available from: https://izlik.org/JA47MG79YH

 

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