Intuitionistic fuzzy equivalence relations and ideals on rings under norms
*Rasul RasuliCorresponding authorRasuli@pnu.ac.irDepartment of MathematicsPayame Noor University (PNU)Tehran, P. O. Box 19395-4697, Iran0000-0003-3755-5790View full profile →
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- Received:
- 06 Dec 2022
- Published Online:
- 03 Oct 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-1422
- Pages:
- 1301–1312
Abstract
Keywords
Subject Classifications
References
[1] L. A. Zadeh, “ Fuzzy sets”, inform. and Control, vol. 8, pp. 338-353 (1965).
[2] J. A. Goguen, “L-fuzzy sets”, J. Math. Anal. Appl., vol. 18, pp. 145-174 (1967).
[3] E. Sanchez, “Resolution of composite fuzzy relation equation”, Inform. and Control , vol. 30, pp. 38-48 (1976).
[4] C. Nemitz, “ Fuzzy relations and fuzzy function”, Fuzzy Sets and Systems, vol. 19, pp. 177-191 (1986).
[5] V. Murali, “ Fuzzy equivalence relation”, Fuzzy Sets and Systems, vol. 30, pp. 155-163 (1989).
[6] M. Samhan, “ Fuzzy congruences on semigroups”, Inform. Sci. , vol. 74, pp. 165-175 (1993).
[7] W. Liu, “Fuzzy invariant subgroups and fuzzy ideals”, Fuzzy Sets and Systems, vol. 8, pp.133-139 (1982).
[8] K. T. Atanassov, “Intuitionistic fuzzy sets”, Fuzzy Sets and Systems, vol. 20, pp. 87-96 (1986).
[9] K. T. Atanassov, “New operations defined over the intuitionistic fuzzy sets”, Fuzzy Sets and Systems, vol. 61, pp. 137-142 (1994).
[10] K. T. Atanassov, “Intuitionistic Fuzzy Sets Theory and Applications”, Studies in Fuzziness and Soft Computing, Physica-Verlag, Heidelberg (1999).
[11] H. H. Abbass and K. O. Kadem, “On pseudo intuitionistic fuzzy ideal of pseudo BH-algebra”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 24, no. 6, pp. 1595-1600 (2021).
[12] A. T. Hameed, M. S. M. Zabiba and N. H. Malik, “Magnified translation of intuitionistic fuzzy AT-ideals on AT-algebras”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 24, no. 6, pp. 1645-1650 (2021).
[13] T. Senapati, M. Bhowmik, M. Pal and K. P. Shum, “Characterization of intuitionistic fuzzy BG-subalgebras of BG-algebras”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 21, pp. 1549-1558 (2018).
[14] S .K. Bhakat and P. Das, “Fuzzy subrings and ideals redefined”, Fuzzy Sets and Systems, vol. 81, pp. 383-393 (1996).
[15] R. Rasuli, “t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras”, Mathematical Analysis and its Contemporary Applications, vol 4, no. 2, pp. 17-34 (2022).
[16] R. Rasuli, “T-fuzzy subbigroups and normal T-fuzzy subbigroups of bigroups”, J. of Ramannujan Society of Mathematics and Mathematical Sciences, vol. 9, no. 2, pp. 165-184 (2022).
[17] R. Rasuli, M. A. Hashemi and B. Taherkhani, “S-norms and Anti fuzzy ideals of BCI-algebras”, 10th National Mathematics Conference of the Payame Noor University, Shiraz, May (2022).
[18] R. Rasuli, B. Taherkhani and H. Naraghi, “T-fuzzy SU-subalgebras”, 10th National Mathematics Conference of the Payame Noor University, Shiraz, May (2022).
[19] R. Rasuli, “A study of T-fuzzy multigroups and direct preoduct of them”, 1th National Conference on Applied Reserches in Basic Sciences( Mathematics, Chemistry and Physics) held by University of Ayatolla Boroujerdi, Iran, during May 26-27 (20220.
[20] R. Rasuli, “S - (M,N)-fuzzy subgroups”, 1th National Conference on Applied Reserches in Basic Sciences( Mathematics, Chemistry and Physics) held by University of Ayatolla Boroujerdi, Iran, during May 26-27 (2022).
[21] R. Rasuli, “Intuitionistic fuzzy BCI-algebras (implicative ideals, closed implicative ideals, commutative ideals) under norms”, Mathematical Analysis and its Contemporary Applications, vol. 4, no. 3, pp. 17-34 (2022).
[22] R. Rasuli, “ Fuzzy d-algebras under t-norms”, Eng. Appl. Sci. Lett. (EASL), vol. 5, no. 1, pp. 27-36 (2022).
[23] R. Rasuli, “ Fuzzy vector spaces under norms”, Annals of Mathematics and Computer Science, vol. 9, pp. 7-24 (2022).
[24] R. Rasuli, “T-fuzzy G-submodules”, Scientia Magna, vol. 17, no. 1, pp. 107-118 (2022).
[25] R. Rasuli, “Anti Fuzzy Congruence on Product Lattices”, 7^th International Congerence on Combinatotcs, Crytography, Computer Science and Computing held by Iran University of Science and Technology, Iran,Tehran, during November 16-17 (2022).
[26] M. T. Abu Osman, “On some products of fuzzy subgroups”, Fuzzy Sets and Systems, vol. 24, pp. 79-86 (1987).
