RANKING OF SYSTEM ELEMENTS ON THE BASIS OF FUZZY RELATIONS: THE LEAST INFLUENCE METHOD
https://doi.org/10.21683/1729-2646-2015-0-4-16-29
Abstract
This paper proposes a new method of ranking of elements to ensure the reliability of systems with application of the fuzzy relations theory. The ranking problem is formulated as automatic classification on the basis of the transitive closure of similarity fuzzy relation. It makes possible to divide a set of system’s elements into disjoint classes undistinguishable by importance.
For construction of a similarity fuzzy relation, each element of a system is represented in the form of a vector of influences. A measure of similarity of pair of elements is the distance between two vectors. Degree of influence of each element is proposed to be calculated by a method of the least influence, which uses expert knowledge about the least influence of an element and comparison of other influences with it by the 9-point Saaty scale.
The proposed method is free from assumption on independence of elements and binary character of reliability: «there is a fault – there is no fault». Possible fields of application of the proposed method are systems with ill-defined structure and multifunctional elements, e.g. organizational, ergatic, military ones, etc.
About the Author
A. P. Rotstein
Technological University of Jerusalem
Israel
Doctor of Technical Sciences, Professor, Professor of Chair Industrial Management
Israel
Doctor of Technical Sciences, Professor, Professor of Chair Industrial Management
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Review
For citations:
Rotstein A.P. RANKING OF SYSTEM ELEMENTS ON THE BASIS OF FUZZY RELATIONS: THE LEAST INFLUENCE METHOD. Dependability. 2015;(4):16-29. https://doi.org/10.21683/1729-2646-2015-0-4-16-29
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ISSN 1729-2646 (Print)
ISSN 2500-3909 (Online)
ISSN 2500-3909 (Online)
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