Conventional locomotion scoring is a subjective, absolute, and discrete assessment of locomotion. Here we assess pairwise comparison to improve upon the limited intra- interobserver consistency typical conventional scoring. Five observers performed 4-level using 50 video recordings dairy cattle, also assessed 90 pairs videos (composed from same recordings) relative Intra- scores [intraobserver:...

A preference matrix is the result of pairwise comparison and is a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns the value from a given scale which is a linearly ordered Abelian group (Alogroup) to any pair of alternatives representing the element of the preference matrix (P-matrix). The well known multiplicative, additive and fuzzy prefe...

The algorithm for finding the optimal consistent approximation of an inconsistent pairwise comaprisons matrix is based on a logarithmic transformation of a pairwise comparisons matrix into a vector space with the Euclidean metric. Orthogonal basis is introduced in the vector space. The orthogonal projection of the transformed matrix onto the space formed by the images of consistent matrices is ...

This study investigates a powerful model, targeted to subjective assessments, based on pairwise comparisons. It provides a proof that a distance-based inconsistency reduction transforms an inconsistent pairwise comparisons (PC) matrix into a consistent PC matrix which is generated by the geometric means of rows of a given inconsistent PC matrix. The distance-based inconsistency indicator was de...

In this paper analytic hierarchy process (AHP), a well-known approach for handling multi-criteria decision making problems, is discussed. It is based on pairwise comparisons. The methods for deriving the priority vectors from comparison matrices are examined. The existing methods for aggregating the individual comparison matrices into a group comparison matrix are revised. A method for aggregat...

Promethee ii is a multi-criteria decision aid method working as follows: firstly, all alternatives are compared two by to form pairwise comparison matrix. Then the net flow score procedure applied on this matrix assign each alternative according which they ranked. Methods of family may suffer from rank reversal occurrences. The legitimacy methods suffering phenomenon has been largely debated in...

All the basic models in data envelopment analysis (DEA) divide decision making units (DMUs) in two groups: efficient DMUs and inefficient DMUs, and lack of discrimination of efficient units is a serious problem. Also in spite of completely ranking units in analytical hierarchy process (AHP), the process of making pairwise comparison matrix is based on experts’ choices and it causes error and in...