PAIRWISE JUDGMENTS CONSISTENCY IMPACT ON QUALITY OF MULTI-CRITERIA GROUP DECISION-MAKING WITH AHP
Presumably complex systems can be better understood when they are broken down into their constituent elements and structured hierarchically. Then, judgments about these elements can be synthesized on the basis
of their relative importance at each level of the hierarchy into a set of overall priorities. By breaking down a reality into homogenous clusters and subdividing them into smaller ones, it is possible to integrate large amounts of information into the structure of a problém and form a more comprehensive picture of the whole system. There is a decision support methodology (DSM) which conforms to the above prescription. It is called the Analytic Hierarchy Process (AHP) and was devised at the Wharton School of Business by Thomas Saaty (1980). Its contemporary applications can be found, for example in Lidinska and Jablonsky (2018), Abdelmaguid and Elrashidy (2016), Kramulová and Jablonský (2016), and Ponis et al. (2015).
Jméno a příjmení autora:
Pawel Tadeusz Kazibudzki, Jiří Křupka
Group decision making, AHP, prioritization quality, pairwise judgments consistency
DOI (& full text):
The scope of this research encompasses issues associated with group decision making (GDM) as the most challenging process which entails various viewpoints and preferences of individuals that must be…více
The scope of this research encompasses issues associated with group decision making (GDM) as the most challenging process which entails various viewpoints and preferences of individuals that must be taken into consideration and somehow combined into one meaningful outcome. When GDM is taken into consideration, the AHP seems to be a particularly attractive methodology. From the perspective of its applications, an existing research gap has been identified and examined in this research paper. Thus, the inconsistency of judgments impact on priority vector quality has been examined from the perspective of group decision making. Examination results generalize to the synthesized pairwise comparison matrix that is obtained on the basis of individual pairwise comparison matrices for all group members. The examination process has proceeded with the application of Monte Carlo simulations coded and executed in Wolfram Mathematica Software. Having in mind that a consistency index for the PCM denoting group preferences cannot be greater than the consistency index of the most inconsistent individual PCM it became possible to designate the credibility of the priority vector for the group on the basis of the most inconsistent individual PCM. It is emphasized that thus far only a few papers have dealt with the problem concerning the relation between a level of the pairwise judgments inconsistency and the degree of possible estimation errors for established vector of priority ratios. This research paper overcomes limitations of other examinations which distinguishes it from other papers and emphasizes its novelty.