As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: September/October 2024.
Open Call for Papers: International Workshop on Intuitionistic Fuzzy Sets • 13 December 2024 • Banska Bystrica, Slovakia/ online (hybrid mode).
Deadline for submissions: 16 November 2024.

Issue:Topologies generated by intuitionistic fuzzy numbers: Difference between revisions

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
VisualWikitext
Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."
 
doi
 
Line 23: Line 23:
{{issue/data
{{issue/data
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/26/1|Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 1]], pages 36–45
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/26/1|Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 1]], pages 36–45
  | doi            =  
  | doi            = https://doi.org/10.7546/nifs.2020.26.1.36-45
  | file            = NIFS-26-1-36-45.pdf
  | file            = NIFS-26-1-36-45.pdf
  | format          = PDF
  | format          = PDF
  | size            = 142
  | size            = 175
  | abstract        =  In this paper we have introduced a method to generate the topologies using the intuitionistic fuzzy numbers, which is the extension work of the topologies generated by the fuzzy numbers. For this we have used (α,β)-cut of intuitionistic fuzzy number, triangular intuitionistic fuzzy number and trapezoidal intuitionistic fuzzy numbers.
  | abstract        =  In this paper we have introduced a method to generate the topologies using the intuitionistic fuzzy numbers, which is the extension work of the topologies generated by the fuzzy numbers. For this we have used (α,β)-cut of intuitionistic fuzzy number, triangular intuitionistic fuzzy number and trapezoidal intuitionistic fuzzy numbers.
  | keywords        =  Fuzzy number, Triangular fuzzy number, Trapezoidal fuzzy number,α-cut of fuzzy numbers, Intuitionistic fuzzy number, Triangular Intuitionistic fuzzy number, Trapezoidal Intuitionistic fuzzy number, (α,β)-cut of intuitionistic fuzzy numbers.
  | keywords        =  Fuzzy number, Triangular fuzzy number, Trapezoidal fuzzy number,α-cut of fuzzy numbers, Intuitionistic fuzzy number, Triangular Intuitionistic fuzzy number, Trapezoidal Intuitionistic fuzzy number, (α,β)-cut of intuitionistic fuzzy numbers.
Line 33: Line 33:




# Atanassov, K. (1986). Intuitionistic Fuzzy Sets, Fuzzy Sets and System, 20 (1), 87–96.
# Atanassov, K. (1986). [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], Fuzzy Sets and System, 20 (1), 87–96.
# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
# Atanassov, K. (2012). [[On Intuitionistic Fuzzy Sets Theory]], Springer, Berlin.
# Burillo, P., Bustince, H. & Mohedano, V. (1994). Some definitions of intuitionistic fuzzy number, Fuzzy based expert systems, fuzzy Bulgarian enthusiasts, Sofia, Bulgaria, 1994, 28–30.
# Burillo, P., Bustince, H. & Mohedano, V. (1994). Some definitions of intuitionistic fuzzy number, Fuzzy based expert systems, fuzzy Bulgarian enthusiasts, Sofia, Bulgaria, 1994, 28–30.
# Klir, G. J., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic, Theory and Applications, Prentice Hall, Inc., Upper Saddle River.
# Klir, G. J., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic, Theory and Applications, Prentice Hall, Inc., Upper Saddle River.

Latest revision as of 13:59, 3 June 2020

shortcut
http://ifigenia.org/wiki/issue:nifs/26/1/36-45
Title of paper: Topologies generated by intuitionistic fuzzy numbers
Author(s):
R. Santhi
Department of Mathematics, N.G.M., College, Pollachi, Tamilnadu, India
santhifuzzy@yahoo.co.in
E. Kungumaraj
Department of Mathematics, Sri Krishna Arts and Science College, Coimbatore, Tamilnadu, India
kungum99522@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 1, pages 36–45
DOI: https://doi.org/10.7546/nifs.2020.26.1.36-45
Download:  PDF (175  Kb, File info)
Abstract: In this paper we have introduced a method to generate the topologies using the intuitionistic fuzzy numbers, which is the extension work of the topologies generated by the fuzzy numbers. For this we have used (α,β)-cut of intuitionistic fuzzy number, triangular intuitionistic fuzzy number and trapezoidal intuitionistic fuzzy numbers.
Keywords: Fuzzy number, Triangular fuzzy number, Trapezoidal fuzzy number,α-cut of fuzzy numbers, Intuitionistic fuzzy number, Triangular Intuitionistic fuzzy number, Trapezoidal Intuitionistic fuzzy number, (α,β)-cut of intuitionistic fuzzy numbers.
AMS Classification: 03F55, 54A05.
References:
  1. Atanassov, K. (1986). Intuitionistic fuzzy sets, Fuzzy Sets and System, 20 (1), 87–96.
  2. Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
  3. Burillo, P., Bustince, H. & Mohedano, V. (1994). Some definitions of intuitionistic fuzzy number, Fuzzy based expert systems, fuzzy Bulgarian enthusiasts, Sofia, Bulgaria, 1994, 28–30.
  4. Klir, G. J., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic, Theory and Applications, Prentice Hall, Inc., Upper Saddle River.
  5. Padmapriya, R., & Thangavelu, P. (2014). Topologies Generated by the α cuts of a Fuzzy set, International Journal of Mathematical Archive, 2, 1–10.
  6. Padmapriya, R., & Thangavelu, P. (2015). Characterization of Nearly open sets using Fuzzy sets, Global Journal of pure and applied Mathematics, 11, 18–20.
  7. Padmapriya, R., & Thangavelu, P. (2015). Topologies Generated by the Fuzzy numbers, International Journal of Engineering Trends and Technology, 4, 243–246.
  8. Sharma, P. K. (2011). α,β-Cut of Intuitionistic fuzzy modules, International Journal of Mathematical Sciences and Applications, 1 (3), 1489–1492.
  9. Shaw, A. K., & Roy, T. K. (2012). Some Arithmetic operations on Triangular Intuitionistic Fuzzy number and its applications on reliability evaluation, International Journal of Fuzzy Mathematics and Systems, 2, 363–382.
  10. Zadeh, L. (1965). Fuzzy sets, Journal of Information and Controls, 8, 338–353.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.

Retrieved from "https://ifigenia.org/index.php?title=Issue:Topologies_generated_by_intuitionistic_fuzzy_numbers&oldid=10435"