Hesitant fuzzy sets in the meaning of infimum on UP-algebras
Pongpun Julathapongpun.j@psru.ac.thDepartment of MathematicsFaculty of Science and TechnologyPibulsongkram Rajabhat UniversityPhitsanulok, 65000, Thailand0000-0002-2565-1948View full profile → , Metawee Songsaengmetawee.faith@gmail.comDepartment of MathematicsSchool of ScienceUniversity of PhayaoMae Ka, Mueang, Phayao, 56000, Thailand0000-0002-2786-0196View full profile → , *Aiyared IampanCorresponding authoraiyared.ia@up.ac.thDepartment of MathematicsSchool of ScienceUniversity of PhayaoMae Ka, Mueang, Phayao, 56000, Thailand0000-0002-0475-3320View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 09 Nov 2021
- Published Online:
- 04 Sep 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-1179
- Pages:
- 2017–2046
Abstract
Keywords
Subject Classifications
References
[1] T. Guntasow, S. Sajak, A. Jomkham, and A. Iampan, “Fuzzy translations of a in UP-algebras,” Journal of the Indonesian Mathematical Society, vol. 23, no. 2, pp. 1–19 (2017).
[2] A. Iampan, “A new branch of the logical algebra: UP-algebras,” Journal of Algebra and Related Topics, vol. 5, no. 1, pp. 35–54 (2017).
[3] A. Iampan, “Introducing fully UP-semigroups,” Discussiones Mathematicae - General Algebra and Applications, vol. 38, no. 2, pp. 297–306 (2018).
[4] Y. B. Jun, C. S. Kim, and M. S. Kang, “Cubic subalgebras and ideals of BCK/BCI-algebras,” Far East Journal of Mathematical Sciences, vol. 44, no. 2, pp. 239–250 (2010).
[5] W. Kaijae, P. Poungsumpao, S. Arayarangsi, and A. Iampan, “UP-algebras characterized by their anti-fuzzy UP-ideals and anti-fuzzy UP-subalgebras,” Italian Journal of Pure and Applied Mathematics, no. 36, pp. 667–692 (2016).
[6] P. Mosrijai, S. Akarachai, and A. Iampan, “New types of hesitant fuzzy sets on UP-algebras,” Mathematica Moravica, vol. 22, no. 2, pp. 29–39 (2018).
[7] P. Mosrijai and A. Iampan, “Anti-type of hesitant fuzzy sets on UP-algebras,” European Journal of Pure and Applied Mathematics, vol. 11, no. 4, pp. 976–1002 (2018).
[8] P. Mosrijai, W. Kamti, A. Satirad, and A. Iampan, “Hesitant fuzzy sets on UP-algebras,” Konuralp Journal of Mathematics, vol. 5, no. 2, pp. 268–280 (2017).
[9] C. Prabpayak and U. Leerawat, “On ideals and congruences in KU-algebras,” Scientia Magna, vol. 5, no. 1, pp. 54–57 (2009).
[10] A. Satirad, R. Chinram, and A. Iampan, “Pythagorean fuzzy sets in UP-algebras and approximations,” AIMS Mathematics, vol. 6, no. 6, pp. 6002–6032 (2021).
[11] S. Sripaeng, K. Tanamoon, and A. Iampan, “On anti Q-fuzzy UP-ideals and anti Q-fuzzy UP-subalgebras of UP-algebras,” Journal of Information and Optimization Sciences, vol. 39, no. 5, pp. 1095–1127 (2018).
[12] T. Senapati, Y. B. Jun, and K. P. Shum, “Cubic set structure applied in UP-algebras,” Discrete Mathematics, Algorithms and Applications, vol. 10, no. 4, Art. no. 1850049 (2018).
[13] J. Somjanta, N. Thuekaew, P. Kumpeangkeaw, and A. Iampan, “Fuzzy sets in UP-algebras,” Annals of Fuzzy Mathematics and Informatics, vol. 12, no. 6, pp. 739–756 (2016).
[14] K. Taboon, P. Butsri, and A. Iampan, “A cubic set theory approach to UP-algebras,” Journal of Interdisciplinary Mathematics, vol. 23, no. 8, pp. 1449–1486 (2020).
[15] V. Torra, “Hesitant fuzzy sets,” International Journal of Intelligent Systems, vol. 25, no. 6, pp. 529–539, 2010.
[16] V. Torra and Y. Narukawa, “On hesitant fuzzy sets and decision,” in 2009 IEEE International Conference on Fuzzy Systems, Jeju Island, South Korea, pp. 1378–1382 (Aug. 2009).
[17] R. R. Yager, “Pythagorean fuzzy subsets,” in 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), Edmonton, AB, Canada, pp. 57–61 (Jun. 2013).
[18] R. R. Yager and A. M. Abbasov, “Pythagorean membership grades, complex numbers, and decision making,” International Journal of Intelligent Systems, vol. 28, no. 5, pp. 436–452 (2013).
[19] L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338–353 (1965).
[20] L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning I,” Information Sciences, vol. 8, no. 3, pp. 199–249 (1975).
