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: March 2025.

Issue:On the intuitionistic fuzzy sets with metric type relation between the membership and non-membership functions: Difference between revisions

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
VisualWikitext
New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} [[Category:IC...
 
m Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"
 
(2 intermediate revisions by the same user not shown)
Line 11: Line 11:
  | institution    = Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
  | institution    = Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
  | address        = 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria  
  | address        = 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria  
  | email-before-at = krat
  | email-before-at = peter.vassilev
  | email-after-at  = bas.bg
  | email-after-at  = gmail.com
}}
}}
{{issue/data
{{issue/data
  | conference      = 16<sup>th</sup> [[ICIFS]], Sofia, 9-10 September 2012
  | conference      = 16<sup>th</sup> [[ICIFS]], Sofia, 9-10 September 2012
  | issue          = Conference proceedings, [[Notes on Intuitionistic Fuzzy Sets/18/3|"Notes on IFS", Volume 18 (2012) Number 3]], pages 30—38
  | issue          = [[Notes on Intuitionistic Fuzzy Sets/18/3|"Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 3]], pages 30—38
  | file            = NIFS-18-3-30-38.pdf
  | file            = NIFS-18-3-30-38.pdf
  | format          = PDF
  | format          = PDF

Latest revision as of 11:05, 29 August 2024

shortcut
http://ifigenia.org/wiki/issue:nifs/18/3/30-38
Title of paper: On the intuitionistic fuzzy sets with metric type relation between the membership and non-membership functions
Author(s):
Peter Vassilev
Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
peter.vassilev@gmail.com
Presented at: 16th ICIFS, Sofia, 9-10 September 2012
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 3, pages 30—38
Download:  PDF (169  Kb, File info)
Abstract: In the paper the so-called dφ-intuitionistic fuzzy set (dφ-IFS), over the non-empty universe E are considered for the case when φ is R2-metric induced by an arbitrary fixed absolute normalized R2-norm φ. It is proved that there exists a bijective isomorphism between the class of all such sets and the class of all intuitionistic fuzzy sets over E.
Keywords: Intuitionistic fuzzy set, d-intuitionistic fuzzy set, dφ-intuitionistic fuzzy set, Norm, Absolute norm, Normalized norm, Absolute normalized norm, Injection, Surjection, Bijection, Isomorphism.
AMS Classification: 03E72
References:
  1. Atanassov, K. Intuitionistic Fuzzy Sets. Springer Physica-Verlag, Heidelberg, 1999.
  2. Bonsall, F., J. Duncan. Numerical Ranges II, London Math. Soc., Lecture Notes Ser., Vol. 10, 1973.
  3. Kato, M., T. Tamura. Weakly nearly uniform smoothness and worth property of Ψ-direct sums of Banach spaces. Comment. Math. Prace Mat., Vol. 46, 2006, 113—129.
  4. Mitani K., K. Saito, T. Suzuki. Smoothness of absolute norms on ℂn, J. Convex Anal. Vol. 10, 2003, 89–107.
  5. Saito, K.-S., M. Kato, Y. Takahashi. Absolute norms on ℂn, J. Math. Anal. Appl., Vol. 252, 2000, 879-905.
  6. Suzuki, T., A. Yamano, M. Kato. The James Constant of 2-Dimensional Lorentz Sequence Spaces. Bull. Kyushu Inst. Tech. Pure Appl. Math. Vol. 53, 2006, 15–24.
  7. Takahashi, Y., M. Kato, K.-S. Saito. Strict convexity of absolute norms on ℂ2 and direct sums of Banach spaces, J. Inequal. Appl. Vol. 7, 2002, 179–186.
  8. Vassilev, P. A Metric Approach To Fuzzy Sets And Intuitionistic Fuzzy Sets. Proc. of. First Int. Workshop on IFSs, GNs, KE, Sept. 2006, 31–38.
  9. Zuo, Z. The Ptolemy constant of absolute normalized norms on ℝ2: Journal of Inequalities and Applications, 2012, 2012:107.
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:On_the_intuitionistic_fuzzy_sets_with_metric_type_relation_between_the_membership_and_non-membership_functions&oldid=13304"