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INTERVAL-VALUED FUZZY B-ALGEBRAS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 3، شماره 2، دی 2006، صفحه 63-73 اصل مقاله (167.23 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2006.467 | ||
| نویسنده | ||
| Arsham Borumand Saeid | ||
| Dept. of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran | ||
| چکیده | ||
| In this note the notion of interval-valued fuzzy B-algebras (briefly, i-v fuzzy B-algebras), the level and strong level B-subalgebra is introduced. Then we state and prove some theorems which determine the relationship between these notions and B-subalgebras. The images and inverse images of i-v fuzzy B-subalgebras are defined, and how the homomorphic images and inverse images of i-v fuzzy B-subalgebra becomes i-v fuzzy B-algebras are studied. | ||
| مراجع | ||
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[1] R. Biswas, Rosenfeld’s fuzzy subgroups with interval valued membership function, Fuzzy Sets and Systems, 63 , 1(1994), 87-90. [2] A. Borumand Saeid, Fuzzy topological B-algebras, (Submitted ). [3] S. M. Hong, Y. B. Jun, S. J. Kim and G. I. Kim, Fuzzy BCI-subalgebras with interval-valued membership functions, IJMMS., 25, 2 (2001), 135-143. [4] Y. Imai and K. Iseki, On axiom systems of propositional calculi, XIV Proc. Japan Academy, 42 (1966), 19-22. [5] Y. B. Jun, E. H. Roh, Chinju and H. S. Kim, On Fuzzy B-algebras, Czechoslovak Math. Journal, 52 (2002), 375-384. [6] J. Meng and Y.B. Jun, BCK-algebras, Kyung Moonsa, Seoul, Korea, (1994). [7] J. Neggers and H. S. Kim, On B-algebras, Math. Vensik, 54 (2002), 21-29. [8] , On d-algebras, Math. Slovaca, 49 (1999), 19-26. [9] A. Rosenfeld, Fuzzy Groups, J. Math. Anal. Appl., 35 (1971), 512-517. [10] L. A. Zadeh, Fuzzy Sets, Inform. Control, 8 (1965), 338-353. [11] , The concept of a linguistic variable and its application to approximate reasoning. I, Information Sci., 8 (1975), 199-249. | ||
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