Open AccessFuzzy Bigroup from another Viewpoint
Author(s) -
L. S. Akinola
Publication year - 2016
Publication title -
fountain journal of natural and applied sciences
Language(s) - English
Resource type - Journals
ISSN - 2350-1863
DOI - 10.53704/fujnas.v5i2.101
Subject(s) - cartesian product , fuzzy logic , cartesian coordinate system , mathematics , algebra over a field , group (periodic table) , construct (python library) , product (mathematics) , fuzzy set , pure mathematics , fuzzy mathematics , fuzzy classification , computer science , discrete mathematics , artificial intelligence , geometry , physics , programming language , quantum mechanics
In group theory, given two groups G and H, it is possible to construct a new group from the Cartesian product of G and H, G × H. With this as a motivation, we replicate this concept in fuzzy group algebra. In this paper, we take a slight deviation from the familiar definition of fuzzy bigroup by looking at fuzzy bigroup from the idea of Cartesian product of groups. We define Cartesian fuzzy function on groups and give examples. We also define Cartesian fuzzy bigroup and study some of its basic properties.