This paper is published in Volume-4, Issue-4, 2018
Area
Mathematics
Author
S. Praveena Subbian, Dr. M. Kamaraj
Org/Univ
Government Arts and Science College, Sivakasi, Tamil Nadu, India
Keywords
Bipolar-valued fuzzy algebra, Fuzzy field, Sup property, Bipolar-valued L-fuzzy set, Bipolar-valued fuzzy ring, Ideal
Citations
IEEE
S. Praveena Subbian, Dr. M. Kamaraj. On bipolar-valued fuzzy algebra over bipolar-valued fuzzy field, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.
APA
S. Praveena Subbian, Dr. M. Kamaraj (2018). On bipolar-valued fuzzy algebra over bipolar-valued fuzzy field. International Journal of Advance Research, Ideas and Innovations in Technology, 4(4) www.IJARIIT.com.
MLA
S. Praveena Subbian, Dr. M. Kamaraj. "On bipolar-valued fuzzy algebra over bipolar-valued fuzzy field." International Journal of Advance Research, Ideas and Innovations in Technology 4.4 (2018). www.IJARIIT.com.
S. Praveena Subbian, Dr. M. Kamaraj. On bipolar-valued fuzzy algebra over bipolar-valued fuzzy field, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.
APA
S. Praveena Subbian, Dr. M. Kamaraj (2018). On bipolar-valued fuzzy algebra over bipolar-valued fuzzy field. International Journal of Advance Research, Ideas and Innovations in Technology, 4(4) www.IJARIIT.com.
MLA
S. Praveena Subbian, Dr. M. Kamaraj. "On bipolar-valued fuzzy algebra over bipolar-valued fuzzy field." International Journal of Advance Research, Ideas and Innovations in Technology 4.4 (2018). www.IJARIIT.com.
Abstract
In this paper, we apply the notion of a bipolar-valued fuzzy set to algebra over a field. We introduce the concept of a bipolar-valued L-fuzzy set of algebra and investigate some properties. We give relations between a bipolar-valued fuzzy algebra and bipolar-valued L-fuzzy set. We also give the characterization of bipolar-valued fuzzy ideal and discuss some related properties.
