PL EN


2015 | 10 | 124-140
Article title

Incomplete Preference Matrix on Alo-Group and Its Application to Ranking of Alternatives

Authors
Content
Title variants
Languages of publication
EN
Abstracts
EN
Pairwise comparison is a powerful method in multi-criteria optimiza- tion. When comparing two elements, the decision maker assigns a value from the given scale which is an Abelian linearly ordered group (Alo- group) of the real line to any pair of alternatives representing an element of the preference matrix (P-matrix). Both non-fuzzy and fuzzy mul- tiplicative and additive preference matrices are generalized. Then we focus on situations where some elements of the P-matrix are missing. We propose a general method for completing fuzzy matrix with missing elements, called the extension of the P-matrix, and investigate some im- portant particular cases of fuzzy preference matrix with missing elements. Eight illustrative numerical examples are included.
Year
Volume
10
Pages
124-140
Physical description
Contributors
References
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Document Type
Publication order reference
Identifiers
ISSN
2084-1531
YADDA identifier
bwmeta1.element.cejsh-d50fa4b2-5d3f-4d1a-8bd0-01ee29fc2ca4
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