Yıl 2013,
Cilt: 10 Sayı: 1, - , 01.05.2013
M. Musa Hasankhani
A. Borumand Saeid
Öz
In this paper we introduced the notions of fuzzy point MV -algebra and fuzzy
point MV -ideals and discuss the relationship between them and the ideals of MV -algebra.
Also we study the product of two fuzzy point MV -algebras.
Kaynakça
- [1] A. B. Saeid, L. Torkzadeh, Fuzzy point hyper BCK-algebras, Indian Journal of Science and Technology 3 (2010), 515–522.
- [2] C. C. Chang, Algebraic analysis of many valued logic, Transactions of the American Mathematical Society 88 (1958), 467–490.
- [3] R. L. O. Cignoli, I. M. L. D’Ottaviano and D. Mundici, Algebraic Foundations of Many-Valued Reasoning, Kluwer Academic, Dordrecht, Boston 2000.
- [4] A. Di Nola, Algebraic analysis of Lukasiewicz logic, European Summer School in Logic, Language and Information 1999 (ESSLLI’99) Utrecht, The Netherlands, (1999), 1-10.
- [5] R. S. Grigolia, An algebraic analysis of Lukasiewicz-Tarski n-valued logical systems, In: R. W´ojcicki, G. Malinowski (Eds.) Selected Papers on Lukasiewicz Sentential Calculus, Ossolineum, Wroc law (1977), 81–92.
- [6] P. M. Pu and Y. M. Liu, Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence, Journal of Mathematical Analysis and Applications 76 (1980), 571–599.
- [7] W. B. V. Kandasamy, Smarandache Fuzzy Algebra, American Research Press, Rehoboth, NM 2003.
- [8] L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338–353.
Yıl 2013,
Cilt: 10 Sayı: 1, - , 01.05.2013
M. Musa Hasankhani
A. Borumand Saeid
Kaynakça
- [1] A. B. Saeid, L. Torkzadeh, Fuzzy point hyper BCK-algebras, Indian Journal of Science and Technology 3 (2010), 515–522.
- [2] C. C. Chang, Algebraic analysis of many valued logic, Transactions of the American Mathematical Society 88 (1958), 467–490.
- [3] R. L. O. Cignoli, I. M. L. D’Ottaviano and D. Mundici, Algebraic Foundations of Many-Valued Reasoning, Kluwer Academic, Dordrecht, Boston 2000.
- [4] A. Di Nola, Algebraic analysis of Lukasiewicz logic, European Summer School in Logic, Language and Information 1999 (ESSLLI’99) Utrecht, The Netherlands, (1999), 1-10.
- [5] R. S. Grigolia, An algebraic analysis of Lukasiewicz-Tarski n-valued logical systems, In: R. W´ojcicki, G. Malinowski (Eds.) Selected Papers on Lukasiewicz Sentential Calculus, Ossolineum, Wroc law (1977), 81–92.
- [6] P. M. Pu and Y. M. Liu, Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence, Journal of Mathematical Analysis and Applications 76 (1980), 571–599.
- [7] W. B. V. Kandasamy, Smarandache Fuzzy Algebra, American Research Press, Rehoboth, NM 2003.
- [8] L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338–353.