MCDM'15 - paper no. 8
INCOMPLETE PREFERENCE MATRIX ON ALO-GROUP AND ITS APPLICATION TO RANKING OF ALTERNATIVES
Jaroslav Ramík
Abstract:
Pairwise comparison is a powerful method in multi-criteria optimization. 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 multiplicative 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 important particular cases of fuzzy preference matrix with missing elements. Eight illustrative numerical examples are included.
Keywords:
multi-criteria optimization, pairwise comparison, preference matrix, incomplete matrix, Alo-group.
Reference index:
Jaroslav Ramík, (2016), INCOMPLETE PREFERENCE MATRIX ON ALO-GROUP AND ITS APPLICATION TO RANKING OF ALTERNATIVES, Multiple Criteria Decision Making (10), pp. 124-140
download