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Interval-Valued Fuzzy Sets on Proximal Relator Spaces

Cilt: 18 Sayı: 3 31 Aralık 2025
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Interval-Valued Fuzzy Sets on Proximal Relator Spaces

Öz

Interval-valued fuzzy sets are a generalization of classical fuzzy sets that the membership values are intervals. In the idea of interval-valued fuzzy sets, there is one real-valued membership degree of an element within the membership interval of possible membership degrees. By helping of interval-valued fuzzy relations, we build the concept of interval-valued fuzzy relations on proximal relator spaces. In our paper, the interval-valued fuzzy proximity axioms is investigated and given some examples. Also, we defined spatial Lodato and descriptive Lodato proximity relations.

Anahtar Kelimeler

Kaynakça

  1. [1] Atanassov K.T., (1986) Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87–96.
  2. [2] Bustince H., (2000) Indicator of inclusion grade for intervalvalued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets., International Journal of Approximate Reasoning, 23(3) 137-209.
  3. [3] Bustince H., Barrenechea, E., Pagola, M., Fernandez, J., (2009) Interval-valued fuzzy sets constructed from matrices: Application to edge detection., Fuzzy Sets and Systems, 60(13), 1819-1840.
  4. [4] Chen S., Wang H., (2009) Evaluating students answer scripts based on interval-valued fuzzy grade sheets., Expert Systems with Applications, 36(6), 9839-9846 (2009).
  5. [5] Choi, B., Rhee, F., (2009) Interval type-2 fuzzy membership function generation methods for pattern recognition, Information Sciences, 179(13), 2102-2122.
  6. [6] Concilio A.D., Guadagni C., Peters J.F., Ramanna S., (2018) Descriptive proximities. properties and interplay between classical proximities and overlap, Mat. Comput. Sci. 12: 91– 106.
  7. [7] Efremoviĉ V.A., (1952) The geometry of proximity. Mat. Sb. N.S. 31(73), 189–200.
  8. [8] Gorzalzany M.B., (1987) A method of inference inapproximate reasoning based on interval- valued fuzzy sets, Fuzzy Sets and Systems 21, 1-17.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Yaklaşım Teorisi ve Asimptotik Yöntemler, Uygulamalı Matematik (Diğer)

Bölüm

Araştırma Makalesi

Erken Görünüm Tarihi

30 Ekim 2025

Yayımlanma Tarihi

31 Aralık 2025

Gönderilme Tarihi

31 Ekim 2024

Kabul Tarihi

2 Eylül 2025

Yayımlandığı Sayı

Yıl 2025 Cilt: 18 Sayı: 3

Kaynak Göster

APA
Tekin, Ö. (2025). Interval-Valued Fuzzy Sets on Proximal Relator Spaces. Erzincan University Journal of Science and Technology, 18(3), 713-725. https://izlik.org/JA76NR97LR
AMA
1.Tekin Ö. Interval-Valued Fuzzy Sets on Proximal Relator Spaces. Erzincan University Journal of Science and Technology. 2025;18(3):713-725. https://izlik.org/JA76NR97LR
Chicago
Tekin, Özlem. 2025. “Interval-Valued Fuzzy Sets on Proximal Relator Spaces”. Erzincan University Journal of Science and Technology 18 (3): 713-25. https://izlik.org/JA76NR97LR.
EndNote
Tekin Ö (01 Aralık 2025) Interval-Valued Fuzzy Sets on Proximal Relator Spaces. Erzincan University Journal of Science and Technology 18 3 713–725.
IEEE
[1]Ö. Tekin, “Interval-Valued Fuzzy Sets on Proximal Relator Spaces”, Erzincan University Journal of Science and Technology, c. 18, sy 3, ss. 713–725, Ara. 2025, [çevrimiçi]. Erişim adresi: https://izlik.org/JA76NR97LR
ISNAD
Tekin, Özlem. “Interval-Valued Fuzzy Sets on Proximal Relator Spaces”. Erzincan University Journal of Science and Technology 18/3 (01 Aralık 2025): 713-725. https://izlik.org/JA76NR97LR.
JAMA
1.Tekin Ö. Interval-Valued Fuzzy Sets on Proximal Relator Spaces. Erzincan University Journal of Science and Technology. 2025;18:713–725.
MLA
Tekin, Özlem. “Interval-Valued Fuzzy Sets on Proximal Relator Spaces”. Erzincan University Journal of Science and Technology, c. 18, sy 3, Aralık 2025, ss. 713-25, https://izlik.org/JA76NR97LR.
Vancouver
1.Özlem Tekin. Interval-Valued Fuzzy Sets on Proximal Relator Spaces. Erzincan University Journal of Science and Technology [Internet]. 01 Aralık 2025;18(3):713-25. Erişim adresi: https://izlik.org/JA76NR97LR