THERMAL SCIENCE

International Scientific Journal

External Links

ON SOME FUNDAMENTAL PROPERTIES OF α-INTERVAL VALUED FUZZY SUBGROUPS

ABSTRACT
In this paper, the definition of α-interval valued fuzzy subgroup is introduced by the help of α-interval valued fuzzy set which is constructed on α-interval valued set whose elements are closed sub-intervals including α of unit interval I = [0, 1]. The fundamental and structural properties of these groups are examined. Some definitions, propositions and examples about these groups are given.
KEYWORDS
PAPER SUBMITTED: 2022-08-05
PAPER REVISED: 2022-09-07
PAPER ACCEPTED: 2022-09-26
PUBLISHED ONLINE: 2023-01-29
DOI REFERENCE: https://doi.org/10.2298/TSCI22S2681B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 2, PAGES [681 - 693]
REFERENCES
  1. Zadeh, L. A., Fuzzy Sets, Information and Control, 8 (1965), 3, pp. 338-353
  2. Zadeh, L. A., The Concept of a Linguistic Variable and Its Application to Approximate Reasoning, Part 1, Infor. Sci., 8 (1975), 3, pp.199-249
  3. Zadeh, L. A., The Concept of a Linguistic Variable and Its Application to Approximate Reasoning, Part 2, Infor. Sci., 8 (1975), 4, pp. 301-357
  4. Zadeh, L. A., The Concept of a Linguistic Variable and Its Application to Approximate Reasoning, Part 3, Infor. Sci., 9 (1975), 1, pp. 43-80
  5. Grattan-Guiness, I., Fuzzy Membership Mapped onto Interval and Many-valued Quantities, Z. Math. Logik, Grundladen Math, 22 (1975), 1, pp. 149-160
  6. Gorzalczany, B., Approximate Inference with Interval-valued Fuzzy Sets-an Outline, Proceedings, Polish Symp. On Interval and Fuzzy Mathematics, Poznan, Poland, 1983, pp. 89-95
  7. Gorzalczany, B., A Method of Inference in Approximate Reasoning Based on Interval-valued Fuzzy Sets, Fuzzy Sets and Systems, 21 (1987), 1, pp. 1-17
  8. Jahn, K. U., Intervall-wertige Mengen, Math. Nach, 68 (1975), 1, pp. 115-132
  9. Sambuc, R., Fonctions φ-floues Application L'aide au Diagnostic en Pathologie Thyroidi- enne, Ph. D. Thesis, Univ. Marseille, Marseille, France, 1975
  10. Turksen, I., Interval Valued Fuzzy Sets Based on Normal Forms, Fuzzy Sets and Systems, 20 (1986), 2, pp. 191-210
  11. Mondal, T. K., Samantha, S. K., Topology of Interval-Valued Fuzzy Sets, Indian J. Pure Applied Math, 30 (1999), 1, pp. 20-38
  12. Rosenfeld, A., Fuzzy Groups, Journal of Mathematical Analysis and Applications, 35 (1971), 3, pp. 512-517
  13. Biswas, R., Rosenfeld's Fuzzy Subgroups with Interval Valued Membership Functions, Fuzzy Sets and Systems, 63 (1994), 1, pp. 87-90
  14. Kang, H. W., Hur, K., Interval-Valued Fuzzy Subgroups and Rings, Honam Mathematical Journal, 32 (2010), 4, pp. 593-617
  15. Wang, G., Li, X., TH-Interval Valued Fuzzy Subgroups, J. Lanzhou University, 32 (1996), pp. 96-99
  16. Li, X., Wang, G., The SH-Interval-valued Fuzzy Subgroups, Fuzzy Sets and Systems, 112 (2000), 2, pp. 319-325
  17. Salahshour, S., et al., Uncertain Fractional Operator With Application Arising In The Steady Heat Flow, Thermal Science, 23 (2019), 2B, pp. 1289-1296
  18. Tu, X, et al., State Variable-Fuzzy Prediction Control Strategy for Superheated Steam Temperature of Thermal Power Units, Thermal Science, 25 (2021), 6A, pp. 4083-4090

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence