Abstract
A preference matrix is the result of pairwise comparison a powerful method in multi-criteria optimisation. When comparing two elements, the decision maker assigns the value from a given scale which is an Abelian linearly ordered group (Alo-group) of the real line to any pair of alternatives representing the element of the preference matrix (P-matrix). We generalise the well known multiplicative and additive preference matrices, and also multiplicative and additive fuzzy preference ones. Then we focus on situations where some elements of the P-matrix are missing. We propose a general method for completing P-matrix with missing elements called the extension of the P-matrix. We investigate some important particular case of fuzzy P-matrix with missing elements. Two illustrative numerical examples are supplemented.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Mathematics in Operational Research
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
