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Issue:T-Lower level set and t-upper level set of an intuitionistic fuzzy set

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Title of paper: t-Lower level set and t-upper level set of an intuitionistic fuzzy set
Author(s):
Ümit Deniz
Department of Mathematics, Faculty of Art and Science, Recep Tayyip Erdogan University, Rize, Türkiye
umit.deniz@erdogan.edu.tr
Presented at: 8th IFS and Contemporary Mathematics (IFSCOM) Conference, 16–19 June 2022, Türkiye
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 4, pages 375–380
DOI: https://doi.org/10.7546/nifs.2022.28.4.375-380
Download:  PDF (157  Kb, Info)
Abstract: In this paper we give the definitions of t-lower level set (Lt(A)) and t-upper level set (Ut(A)) of an Intuitionistic fuzzy set. [1] A t-lower level set is defined by giving a lower boundary on μA(x) + νA(x). A t-upper level set is defined by giving an upper boundary on μA(x) + νA(x). If A is an Intuitionistic fuzzy set of X, then Lt(A) and Ut(A) are subsets of X. In this paper we give some theorems by using t-lower level sets and t-upper level sets and prove them.
Keywords: Intuitionistic fuzzy sets, t-lower level sets, t-upper level sets, Cut of intuitionistic fuzzy set.
AMS Classification: 03F55, 03G25, 13C05, 13C13, 13A15.
References:
  1. Atanassov, K. T. (1983). Intuitionistic fuzzy sets. VII ITKR’s Session, Sofia, June 1983.
  2. Çuvalcıoğlu, G. (2014). Some properties of controlled set theory. Notes on Intuitionistic Fuzzy Sets, 20(2), 37–42, (2014).
  3. Çuvalcıoğlu, G., & Tarsuslu, S. (2016). New intuitionistic fuzzy level sets. IFSCOM2016 Proceeding Book, 1, 73–77.
  4. Rosenfeld, A. (1971). Fuzzy groups. Journal of Mathematical Analysis and Application, 35, 512–517.
  5. Sharma, P. K. (2011). (α, β)-Cut of intuitionistic fuzzy groups. International Mathematical Forum, 6(53), 2605–2614.
  6. Tuğrul, F., & Çitil, M. (2021). A new perspective on evaluation system in education with intuitionistic fuzzy logic and PROMETHEE algorithm. Journal of Universal Mathematics, 4(1), 13–24.
  7. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.
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