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- Title
A Theory of Lattice Interval Valued Fuzzy Sets and Fuzzy Maps Between Different Lattice Interval Valued Fuzzy Sets.
- Authors
Murthy, Nistala V. E. S.; Prasanna, Jami L.
- Abstract
The aim of this paper is 1. to introduce the notions of, an interval valued f-set with truth values in a complete lattice of closed intervals or a simply a cloci over an arbitrary a complete lattice L, called an L-interval valued f-set or simply an L-ivf-set, an L-interval valued f-subset and to introduce an interval valued f-map between an L-interval valued f-set and an M-interval valued f-set where the complete lattice L may possibly be different from the complete lattice M, an M-interval valued f-image of an L-interval valued f-subset under an interval valued f-map and an L-interval valued f-inverse image of an M-interval valued f-subset under an interval valued f-map, and 2. to study the standard (lattice) algebraic properties of, all L-interval valued f-subsets of an L-interval valued f-set, all M-interval valued f-images of L-interval valued f-subsets under an interval valued f-map and of all L-interval valued f-inverse images of M-interval valued f-subsets under an interval valued f-map, generalizing the Theory of f-Sets.
- Subjects
FUZZY sets; SET theory; LATTICE networks; LATTICE theory; FUZZY algorithms
- Publication
International Journal of Advanced Research in Computer Science, 2013, Vol 4, Issue 1, p227
- ISSN
0976-5697
- Publication type
Article