Open AccessOn (L,M)-fuzzy convex structures
Author(s) -
Osama Sayed Rashed,
E. El-Sanousy,
Yaser Sayed Hassanein
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1913151s
Subject(s) - mathematics , convexity , fuzzy logic , fuzzy subalgebra , fuzzy mathematics , regular polygon , fuzzy set , pure mathematics , fuzzy number , class (philosophy) , topology (electrical circuits) , discrete mathematics , space (punctuation) , combinatorics , artificial intelligence , geometry , computer science , financial economics , economics , operating system
This paper defines a new class of L-fuzzy sets called r-L-fuzzy biconvex sets in (L,M)-fuzzy convex structures (X,C), where C is an (L,M)-fuzzy convexity on X, and some of their properties were studied. In addition, weintroduce (L,M)-fuzzy topological convexity space and study some of its properties. Finally, we introduce locally (L,M)-fuzzy topology (L,M)-fuzzy convexity space and study some of its properties.