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Saeid, Arsham Borumand
- Fuzzy BM-algebras
Abstract Views :423 |
PDF Views:92
Authors
Affiliations
1 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, IR
1 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, IR
Source
Indian Journal of Science and Technology, Vol 3, No 5 (2010), Pagination: 523-529Abstract
In this paper the notion of fuzzy BM-algebra and fuzzy topological BM-algebras are introduced. We stated and proved some theorem in fuzzy BM-algebras and level subalgebras. Finally fuzzy topological BM-algebras are studied.Keywords
Fuzzy) BM-algebra, Fuzzy BM-subalgebras, Level Subalgebras, Fuzzy Topological BM-algebrasFull Text
References
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- BM-algebras Defined by Bipolar-valued Sets
Abstract Views :407 |
PDF Views:97
Authors
Affiliations
1 Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, IR
1 Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, IR
Source
Indian Journal of Science and Technology, Vol 5, No 2 (2012), Pagination: 2071-2078Abstract
In this note, by using the concept of Bipolar-valued fuzzy set, the notion of bipolar-valued fuzzy BM-algebra is introduced. Moreover, the notions of (strong) negative s-cut (strong) positive t-cut are introduced and the relationship between these notions and crisp sub-algebras are studied.Keywords
BM-algebra, Bipolar-valued Fuzzy Sets, Negative S-cut, (strong) Positive T-cutFull Text
References
- Borumand Saeid A (2010) Fuzzy BM-algebras. Indian J. Sci & Technol. 3(5), 523-529.
- Hu QP and Li X (1983) On BCH-algebras. Math. Seminar Notes. 11, 313-320.
- Hu QP and Li X (1985) On proper BCH-algebras. Math. Japonica. 30, 659-661.
- Iseki K and Tanaka S (1978) An introduction to theory of BCK-algebras. Math. Japonica. 23, 1-26.
- Iseki K (1980) On BCI-algebras. Math. Seminar Notes, 8, 125-130.
- Jun YB, Roh EH and Kim HS (1998) On BH-algebras. Sci. Math. Japonica Online. 1, 347-354.
- Kim CB and Kim HS (2006) On BM-algebras Sci. Math. Japo. Online. pp: 215-221.
- Kim HS, Kim YH and Neggers J (2004) Coxeters and pre-Coxeter algebras in smarandache setting. Honam Math. J. 26(4), 471-481.
- Lee KM (2000) Bipolar-valued fuzzy sets and their operations. Proc. Intl. Conf. Intelligent Technol., Bangkok, Thailand. pp: 307-312.
- Lee KM (2004) Comparison of interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolar-valued fuzzy sets. J. Fuzzy Logic Intelligent Sys. 14(2), 125-129.
- Meng J and Jun YB (1994) BCK-algebras. Kyung Moon Sa. Co., Seoul, Korea.
- Neggers J and Kim HS (1999) On d-algebras. Math. Slovaca, 49, 19-26.
- Neggers J and Kim HS (2002a) On B-algebras. Mate. Vesnik, 54, 21-29.
- Neggers J and Kim HS (2002b) A fundamental theorem of B-homomorphism for B-algebras. Intl. Math. J. 2, 215-219.
- Walendziak A (2006) Some axiomatizations of Balgebras. Math. Slovaca. 56(3), 301-306.
- Zadeh LA (1965) Fuzzy Sets. Inform. Control. 8, 338- 353.