Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces

T. Jenitha Premalatha; S. Jothimani

doi:doi:10.11648/j.ml.20170306.12

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Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces

T. Jenitha Premalatha, S. Jothimani

Published in Mathematics Letters (Volume 3, Issue 6)

Received: 5 October 2017 Accepted: 25 October 2017 Published: 23 November 2017

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Abstract

The paper aspires to discuss the basic properties of connected spaces. Also the concept of types of intuitionistic fuzzy πgβ-connected and disconnected in intuitionistic fuzzy topological spaces are introduced and studied. The research paper of topological properties is introducedby making the idea of being connected. It turns out to be easier to think about the property that is the negation of connectedness, namely the property of disconnectedness and separable. Also the concepts of intuitionistic fuzzy πgβC₅-connectedness, intuitionistic fuzzy πgβC_S-connectedness, intuitionistic fuzzy πgβC_M-connectedness, intuitionistic fuzzy πgβ-strongly connectedness, intuitionistic fuzzyπ β-super connectedness and obtain several properties and some characterizations concerning connectedness in these spaces are explored.

Published in	Mathematics Letters (Volume 3, Issue 6)
DOI	10.11648/j.ml.20170306.12
Page(s)	65-70
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Intuitionistic Fuzzy Connected, Intuitionistic Fuzzy πgβ-connected, Intuitionistic Fuzzy πgβC₅-connectedness, Intuitionistic Fuzzy πgβC_S-connectedness, Intuitionistic Fuzzy πgβC_M-connectedness, Intuitionistic Fuzzy πgβ-Super Connectedness and Intuitionistic Fuzzy πgβ–strongly Connected

References

[1]	M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud- β-open sets and β-continuous mappings, Bull. Fac. Sci. Assiut Univ., 12(1983), 77-90.
[2]	M. E. Abd EI-Monsefand R. A. Mahmoud, β-irresolute and β-topological invariant, Proc. Pakistan Acad. Sci., 27(1990), 285-296.
[3]	A. V. Arhangels´kii, R. Wiegandt. Connectedness and disconnectedness in topology. Top. Appl 1975,5.
[4]	Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 1986, 87-96.
[5]	C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl.24(1968) 182–190.
[6]	S. Ozcagand D. Coker, Onconnectedness inintuitionistic fuzzyspecialtopological spaces, Inter. J. Math. Math. Sci. 21 (1998) 33-40.
[7]	T. JenithaPremalatha, S. Jothimani–Intuitionistic fuzzy πgβ closed set- Int. J. Adv. Appl. Math. andMech. 2(2)(2014)92-101.
[8]	M. S. Sarsak, N. Rajesh, π-Generalized Semi-Pre closedSets, Int. Mathematical Forum 5(2010)573-578.
[9]	Sucharita Chakrabarti, Hiranmay Dasgupta, International Mathematical Forum, Vol. 8, 2013, no. 38, 1889-1901.
[10]	S. Thakur and R. Chaturvedi, Regular generalized closed sets inintuitionisitc fuzzy topological spaces, Universitatea Din Bacau, Studii Si CercetariStiintifice, Seria:Mathematica 16 (2006) 257–272.
[11]	N. Turnali and D. Coker Fuzzy connectedness in intuitionistic fuzzy topological spaces, Fuzzy SetsandSystems 116 (2000)369–375.
[12]	L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965)338–353.

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APA Style

T. Jenitha Premalatha, S. Jothimani. (2017). Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces. Mathematics Letters, 3(6), 65-70. https://doi.org/10.11648/j.ml.20170306.12

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ACS Style

T. Jenitha Premalatha; S. Jothimani. Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces. Math. Lett. 2017, 3(6), 65-70. doi: 10.11648/j.ml.20170306.12

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AMA Style

T. Jenitha Premalatha, S. Jothimani. Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces. Math Lett. 2017;3(6):65-70. doi: 10.11648/j.ml.20170306.12

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@article{10.11648/j.ml.20170306.12,
  author = {T. Jenitha Premalatha and S. Jothimani},
  title = {Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces},
  journal = {Mathematics Letters},
  volume = {3},
  number = {6},
  pages = {65-70},
  doi = {10.11648/j.ml.20170306.12},
  url = {https://doi.org/10.11648/j.ml.20170306.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20170306.12},
  abstract = {The paper aspires to discuss the basic properties of connected spaces. Also the concept of types of intuitionistic fuzzy πgβ-connected and disconnected in intuitionistic fuzzy topological spaces are introduced and studied. The research paper of topological properties is introducedby making the idea of being connected. It turns out to be easier to think about the property that is the negation of connectedness, namely the property of disconnectedness and separable. Also the concepts of intuitionistic fuzzy πgβC5-connectedness, intuitionistic fuzzy πgβCS-connectedness, intuitionistic fuzzy πgβCM-connectedness, intuitionistic fuzzy πgβ-strongly connectedness, intuitionistic fuzzyπ β-super connectedness and obtain several properties and some characterizations concerning connectedness in these spaces are explored.},
 year = {2017}
}

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TY  - JOUR
T1  - Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces
AU  - T. Jenitha Premalatha
AU  - S. Jothimani
Y1  - 2017/11/23
PY  - 2017
N1  - https://doi.org/10.11648/j.ml.20170306.12
DO  - 10.11648/j.ml.20170306.12
T2  - Mathematics Letters
JF  - Mathematics Letters
JO  - Mathematics Letters
SP  - 65
EP  - 70
PB  - Science Publishing Group
SN  - 2575-5056
UR  - https://doi.org/10.11648/j.ml.20170306.12
AB  - The paper aspires to discuss the basic properties of connected spaces. Also the concept of types of intuitionistic fuzzy πgβ-connected and disconnected in intuitionistic fuzzy topological spaces are introduced and studied. The research paper of topological properties is introducedby making the idea of being connected. It turns out to be easier to think about the property that is the negation of connectedness, namely the property of disconnectedness and separable. Also the concepts of intuitionistic fuzzy πgβC5-connectedness, intuitionistic fuzzy πgβCS-connectedness, intuitionistic fuzzy πgβCM-connectedness, intuitionistic fuzzy πgβ-strongly connectedness, intuitionistic fuzzyπ β-super connectedness and obtain several properties and some characterizations concerning connectedness in these spaces are explored.
VL  - 3
IS  - 6
ER  -

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Author Information

T. Jenitha Premalatha

Department of Mathematics, Tips Global Institute, Coimbatore, India
S. Jothimani

Department of Mathematics, Government Arts College, Coimbatore, India

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APA Style

T. Jenitha Premalatha, S. Jothimani. (2017). Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces. Mathematics Letters, 3(6), 65-70. https://doi.org/10.11648/j.ml.20170306.12

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ACS Style

T. Jenitha Premalatha; S. Jothimani. Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces. Math. Lett. 2017, 3(6), 65-70. doi: 10.11648/j.ml.20170306.12

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AMA Style

T. Jenitha Premalatha, S. Jothimani. Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces. Math Lett. 2017;3(6):65-70. doi: 10.11648/j.ml.20170306.12

Copy | Download

@article{10.11648/j.ml.20170306.12,
  author = {T. Jenitha Premalatha and S. Jothimani},
  title = {Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces},
  journal = {Mathematics Letters},
  volume = {3},
  number = {6},
  pages = {65-70},
  doi = {10.11648/j.ml.20170306.12},
  url = {https://doi.org/10.11648/j.ml.20170306.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20170306.12},
  abstract = {The paper aspires to discuss the basic properties of connected spaces. Also the concept of types of intuitionistic fuzzy πgβ-connected and disconnected in intuitionistic fuzzy topological spaces are introduced and studied. The research paper of topological properties is introducedby making the idea of being connected. It turns out to be easier to think about the property that is the negation of connectedness, namely the property of disconnectedness and separable. Also the concepts of intuitionistic fuzzy πgβC5-connectedness, intuitionistic fuzzy πgβCS-connectedness, intuitionistic fuzzy πgβCM-connectedness, intuitionistic fuzzy πgβ-strongly connectedness, intuitionistic fuzzyπ β-super connectedness and obtain several properties and some characterizations concerning connectedness in these spaces are explored.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Πgβ-connectedness in Intuitionistic Fuzzy Topological Spaces
AU  - T. Jenitha Premalatha
AU  - S. Jothimani
Y1  - 2017/11/23
PY  - 2017
N1  - https://doi.org/10.11648/j.ml.20170306.12
DO  - 10.11648/j.ml.20170306.12
T2  - Mathematics Letters
JF  - Mathematics Letters
JO  - Mathematics Letters
SP  - 65
EP  - 70
PB  - Science Publishing Group
SN  - 2575-5056
UR  - https://doi.org/10.11648/j.ml.20170306.12
AB  - The paper aspires to discuss the basic properties of connected spaces. Also the concept of types of intuitionistic fuzzy πgβ-connected and disconnected in intuitionistic fuzzy topological spaces are introduced and studied. The research paper of topological properties is introducedby making the idea of being connected. It turns out to be easier to think about the property that is the negation of connectedness, namely the property of disconnectedness and separable. Also the concepts of intuitionistic fuzzy πgβC5-connectedness, intuitionistic fuzzy πgβCS-connectedness, intuitionistic fuzzy πgβCM-connectedness, intuitionistic fuzzy πgβ-strongly connectedness, intuitionistic fuzzyπ β-super connectedness and obtain several properties and some characterizations concerning connectedness in these spaces are explored.
VL  - 3
IS  - 6
ER  -

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