On explicit and implicit solutions of fuzzy linear equations
- 1 December 1995
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 26 (12) , 2277-2286
- https://doi.org/10.1080/00207729508929167
Abstract
The paper is concerned with implicit and explicit solutions of a set of fuzzy linear equations. It is assumed that the left-hand side matrix of the equation set is a square crisp matrix with real entries, and the right-hand side vector consists of triangular fuzzy numbers. An explicit and an implicit solution are calculated and compared, based on fuzzy numbers arithmetic properties. Calculation examples are included. Finally, an area of a possible application is presented.Keywords
This publication has 5 references indexed in Scilit:
- Fuzzy Programming: A Survey of Recent DevelopmentsPublished by Springer Nature ,1990
- Solving linear programming problem with non-deterministic constraints using fuzzy numbers arithmeticInternational Journal of Systems Science, 1989
- A note on the extension principle for fuzzy setsJournal of Mathematical Analysis and Applications, 1978
- Operations on fuzzy numbersInternational Journal of Systems Science, 1978
- Fuzzy programming and linear programming with several objective functionsFuzzy Sets and Systems, 1978