The consistency of positive fully fuzzy linear system

In this paper, the consistency of fuzziness of positive solution of the n × n fully fuzzy linear system (P – FFLS) is studied based on its associated linear system (P – ALS). That can consist of the whole entries of triangular fuzzy numbers in a linear system without fuzzy operations. The nature of...

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Bibliographic Details
Main Authors: Malkawi, Ghassan O., Alfifi, Hassan Y.
Format: Conference Proceeding
Language:English
Subjects:
Consistency
Fuzzy systems
Online Access:Get full text
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Summary:In this paper, the consistency of fuzziness of positive solution of the n × n fully fuzzy linear system (P – FFLS) is studied based on its associated linear system (P – ALS). That can consist of the whole entries of triangular fuzzy numbers in a linear system without fuzzy operations. The nature of solution is differentiated in case of fuzzy solution, non-fuzzy solution and fuzzy non-positive solution. Moreover, the analysis reveals that the P – ALS is applicable to provide the set of infinite number of solutions. Numerical examples are presented to illustrate the proposed analysis.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5012144