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Issue:IF nearness

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http://ifigenia.org/wiki/issue:nifs/14/1/23-26
Title of paper: IF nearness
Author(s):
Vladimír Janiš
Department of Mathematics, Faculty of Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica, Slovak Republic
janis@fpv.umb.sk
Presented at: 12th ICIFS, Sofia, 17—18 May 2008
Published in: Conference proceedings, "Notes on Intuitionistic Fuzzy Sets", Volume 14 (2008) Number 1, pages 23—26
Download:  PDF (83  Kb, File info)
Abstract: The concept of a fuzzy nearness was introduced to solve some practical situations, where the T-equivalence is not suitable. We provide an IF version of a fuzzy nearness and show how it can be used to describe a situation with imprecise information and

present examples of IF nearnesses.

Keywords: Fuzzy set, T-equivalence, Nearness, IF nearness
References:
  1. DeCock, M., Kerre, E.: Why fuzzy T-equivalence relations do not resolve the Poincaré paradox, and related issues, Fuzzy Sets and Systems 133, 2003.
  2. DeCock, M., Kerre, E.: On (un)suitable fuzzy relations to model approximate equality, Fuzzy Sets and Systems 133, 2003.
  3. Kalina, M.: Derivatives of fuzzy functions and fuzzy derivatives, Tatra Mountains Math. Publ. 12 (1997) 27-34.
  4. Kalina, M.: Nearness relation in linear spaces, Kybernetika 40 no.4 (2004) 441-458
  5. Montes, S., Couso, I., Gil, P., Bertoluzza, C.: Divergence measure between fuzzy sets. Int. J. of Approx. Reasoning 30/2 91-105.
  6. Pappis, C.P., Karacapilidis, N.I. (1993) A comparative assessment of measures of similarity of fuzzy values. Fuzzy Sets and Systems 56, 171-174.
  7. Wang, X., De Baets, B., Kerre, E. (1995) A comparative study of similarity measures. Fuzzy Sets and Systems 73, 259-268.
  8. Xuecheng, L. (1992) Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets and Systems 52(2), 305-318.
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