Vague BCK/BCI-algebras

• Autorzy: Saeid A. B.
• Języki publikacji: EN

Abstrakty

EN

In this note, by using the concept of vague sets, the notion of vague BCK/BCI-algebra is introduced. And the notions of α-cut and vague-cut are introduced and the relationships between these notions and crisp subalgebras are studied.

Słowa kluczowe

EN

vague sets; vague BCK/BCI-algebra; vague-cut

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2009
• Tom: Vol. 29, no. 2
• Strony: 177--186
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Saeid A. B.

• Dept. of Mathematics Shahid Bahonar University of Kerman Kerman, Iran,

Bibliografia

• [1] R. Biswas, Vague groups, Internat. J. Comput. Cognition 4 (2006) 2, 20–23.
• [2] W.L. Gau, D.J. Buehrer, Vague sets, IEEE Transactions on Systems, Man and Cybernetics 23 (1993), 610–614.
• [3] P. Hajek, Metamathematics of Fuzzy Logic, Kluwer Academic Publishers, Dordrecht, 1998.
• [4] M. Haveshki, A. Borumand Saeid, E. Eslami, Some types of filters in BL-algebras, Soft Computing 10 (2006), 657–664.
• [5] Y.S. Huang, BCI-algebra, Science Press, China (2006).
• [6] Y. Imai, K. Iseki, On axiom systems of propositional calculi, XIV Proc. Japan Academy 42 (1966), 19–22.
• [7] K. Iseki, An algebra related with a propositional calculus, XIV proc. Japan Academy 42 (1966), 26–29.
• [8] K. Iseki, S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japonica 23 (1978) 1, 1–26.
• [9] J. Meng, Y. B. Jun, BCK-algebras, Kyungmoon Sa Co., Korea (1994).
• [10] L.A. Zadeh, Fuzzy sets, Inform. Contr. 8 (1965), 338–353.
• [11] L.A., Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I, Inform. Contr. 8 (1975), 199–249.