THERMAL SCIENCE
International Scientific Journal
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
- Zadeh, L. A., Fuzzy Sets, Information and Control, 8 (1965), 3, pp. 338-353
- 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
- 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
- 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
- Grattan-Guiness, I., Fuzzy Membership Mapped onto Interval and Many-valued Quantities, Z. Math. Logik, Grundladen Math, 22 (1975), 1, pp. 149-160
- 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
- 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
- Jahn, K. U., Intervall-wertige Mengen, Math. Nach, 68 (1975), 1, pp. 115-132
- Sambuc, R., Fonctions φ-floues Application L'aide au Diagnostic en Pathologie Thyroidi- enne, Ph. D. Thesis, Univ. Marseille, Marseille, France, 1975
- Turksen, I., Interval Valued Fuzzy Sets Based on Normal Forms, Fuzzy Sets and Systems, 20 (1986), 2, pp. 191-210
- Mondal, T. K., Samantha, S. K., Topology of Interval-Valued Fuzzy Sets, Indian J. Pure Applied Math, 30 (1999), 1, pp. 20-38
- Rosenfeld, A., Fuzzy Groups, Journal of Mathematical Analysis and Applications, 35 (1971), 3, pp. 512-517
- Biswas, R., Rosenfeld's Fuzzy Subgroups with Interval Valued Membership Functions, Fuzzy Sets and Systems, 63 (1994), 1, pp. 87-90
- Kang, H. W., Hur, K., Interval-Valued Fuzzy Subgroups and Rings, Honam Mathematical Journal, 32 (2010), 4, pp. 593-617
- Wang, G., Li, X., TH-Interval Valued Fuzzy Subgroups, J. Lanzhou University, 32 (1996), pp. 96-99
- Li, X., Wang, G., The SH-Interval-valued Fuzzy Subgroups, Fuzzy Sets and Systems, 112 (2000), 2, pp. 319-325
- Salahshour, S., et al., Uncertain Fractional Operator With Application Arising In The Steady Heat Flow, Thermal Science, 23 (2019), 2B, pp. 1289-1296
- 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