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Some fundamental properties of fuzzy linear relations between vector spaces
- Source :
- Filomat. 30:41-53
- Publication Year :
- 2016
- Publisher :
- National Library of Serbia, 2016.
-
Abstract
- This paper aims at studying the fundamental properties of fuzzy linear relations between vector spaces. The sum of two fuzzy relations and the scalar multiplication are defined, in a natural way, and some properties of this operations are established. Fuzzy linear relations are investigated and among the results obtained, there should be underlined a characterization of fuzzy linear relations and the fact that the inverse of a fuzzy linear relation is also a fuzzy linear relation. Moreover, the paper shows that the composition of two fuzzy linear relations is a fuzzy linear relation as well. Finally, the article highlights that the family of all fuzzy linear relations is closed under addition and it is closed under scalar multiplication.
- Subjects :
- Fuzzy classification
Mathematics::General Mathematics
General Mathematics
010102 general mathematics
Fuzzy set
010103 numerical & computational mathematics
Fuzzy subalgebra
01 natural sciences
Defuzzification
Algebra
Fuzzy mathematics
Fuzzy set operations
Fuzzy number
Fuzzy associative matrix
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 24060933 and 03545180
- Volume :
- 30
- Database :
- OpenAIRE
- Journal :
- Filomat
- Accession number :
- edsair.doi...........512435d0b810145cf3ee41ab3763e182