On the Statistical Discrepancy and Affinity of Priority Vector Heuristics in Pairwise-Comparison-Based Methods

Kazibudzki, Paweł Tadeusz

doi:10.3390/e23091150

Cited by 4 publications

(4 citation statements)

References 103 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[39,42,46,73,78,184,190]; and last but not least, the Condition of the order Preservation (COP), which constitutes a complementary approach to the examination of the in/consistency of PCM, see e.g. [15,32,[191][192][193][194][195].…”

Section: Systematic Review Of Literaturementioning

confidence: 99%

The uncertainty related to the inexactitude of prioritization based on consistent pairwise comparisons

Kazibudzki

2023

PLoS ONE

Self Cite

View full text Add to dashboard Cite

When the in/consistency in Pairwise Comparisons (PCs) is taken into consideration as the subarea of the Multi Attribute Decision Making (MADM) scientific field, it has many repercussions in various types of research areas including different modelling scenarios e.g. reduction of inconsistency during PCs, deriving appropriate consistency thresholds for inconsistent Pairwise Comparison Matrices (PCMs), completing of incomplete PCMs, aggregating of individual PCMs in relation to Group Decision Making (GDM) aspects, and PCMs in/consistency relation to credibility of Priority Vectors (PV) derived from PCMs with the application of various Priorities Deriving Methods (PDMs). The examination objective in the latter area of research is the uncertainty related to the inexactitude of prioritization based on derived PVs. However, only few research studies examine this problem from the perspective of PCM applicability for credible designation of decision maker’s (DM) priorities in the way that leads to minimization of the prioritization uncertainty related to possible, and sometimes very probable, ranking fluctuations. This problem constitutes the primary area of interest for this research paper as no research study was thus far identified that examines this problem from the perspective of consistent PCMs. Hence, a research gap was identified. Thus, the objective of this research paper is to fill in this scientific gap. The research findings have serious repercussions in relation to prioritization quality with the application of PCs methodology, mostly in relation to the interpretation and reliability evaluation of prioritization results. Firstly, the research study outcome changes the perspective of the rank reversal phenomenon, which shed new light on many research studies that have been presented in the subject’s literature for many decades. Secondly, the research study results throw new light on the discussion concerning the fuzziness of AHP’s results. Last but not least, the effect of the research opens the unique opportunity to evaluate the prioritization outcome obtained within the process of consistent PCs from the well-known perspective of statistical hypothesis testing i.e. the probability designation of the chance that accepted ranking results which were considered as correct due to low probability of change may be incorrect, hence they should be rejected, and the probability designation of the chance that rejected ranking results which were considered as incorrect due to high probability of change may be correct and should be accepted. The paramount finding of the research is the fact that consistent PCMs provide PVs, which elements cannot be considered as established, but only approximated within certain confidence intervals estimated with a certain level of probability. As problems related to heuristics can be analyzed only via a computer simulation process, because they cannot be mathematically determined, the problem examined in this research paper is examined via Monte Carlo simulations, appropriately coded and executed with the application of Wolfram’s Mathematica Software. It is believed that this research findings should be very important and useful for all decision makers and researchers during their problems‘ examinations that relate to prioritization processes with the application of PCs methodology.

show abstract

Section: Systematic Review Of Literaturementioning

confidence: 99%

The uncertainty related to the inexactitude of prioritization based on consistent pairwise comparisons

Kazibudzki

2023

PLoS ONE

Self Cite

View full text Add to dashboard Cite

show abstract

“…Pehlivan et al [12] note that the LLST method incurs substantial computing costs. Kazibudzki investigated the priority deriving methods LLSM, Simple Normalized Column Sum-SNCS, and Logarithmic Squared Deviations Minimization Method-LSDM [13]. Buckley [14] and Lootsma [15] suggested the geometric mean method, which is easy to understand and realize in comparison with other methods.…”

Section: Literature Reviewmentioning

confidence: 99%

Comparative Sensitivity Analysis of Some Fuzzy AHP Methods

Vinogradova-Zinkevič

2023

Mathematics

View full text Add to dashboard Cite

A precise evaluation of the actual situation is a significant aspect of making a correct and informed decision. Due to the bounded accuracy and elements of uncertainty in the data itself, a point estimate may be less adjusted and rough than an estimate based on fuzzy set theory. The stability of the Fuzzy AHP Arithmetic mean, Geometric mean, Extent analysis, and Lambda Max methods, widely used in practice, is verified. Three stages of verification are considered, investigating the impact of the following: (a) the scale applied; (b) methods of aggregation of the AHP matrices into the FAHP matrix; and (c) methods of combining several FAHP judgments. Slight changes in experts’ estimates are programmatically simulated tens of thousands of times to track changes in ranking and deviations of results from the initial estimate. This continues the study of FAHP’s stability due to the ambiguous results of such verification by the method of extent analysis. As a result of a comparative analysis of the listed evaluation methods, their specific features and advantages are identified.

show abstract

“…In the first stage of assessment, each question's importance within the researched area of sustainable marketing mix development was evaluated. In this process, each question's importance was established by comparisons in pairwise mode [58] (which possesses the properties of a ratio scale). The questions' importance was established and reflected by fractions normalized to unity within each researched area of sustainable marketing mix.…”

Section: General Research Conceptmentioning

confidence: 99%

Prospects and Constraints of Sustainable Marketing Mix Development for Poland’s High-Energy Consumer Goods

Trojanowski

Kazibudzki

2021

Energies

Self Cite

View full text Add to dashboard Cite

The research examined awareness, prospects and constraints of sustainable marketing mix development (SMD) from the perspective of Poland’s high-energy consumer goods (HECG), i.e., confectionery products, as an example of the Polish food industry. A questionnaire survey was designed for this purpose. The purpose of the survey questions was to evaluate selected areas of SMD; thus, a reference value ratio was proposed. An original approach to pairwise comparisons technique was applied to rank the value of each survey to provide an intensity measure for each examined area, i.e., a non-heuristic approach with verifiable accuracy and reliability. It was found that a high level of awareness among respondents exists in relation to SMD. Considering all aspects of constraints intensity for SMD, it could be concluded that SMD for Poland’s HECG is at a quite high level. However, considering all aspects of prospects intensity for SMD, this evaluation supported the conclusion that its level for Poland’s HECG is moderate only. It was also found that prices of sustainable products constitute the highest ranked determinant of SMD. Considering these research findings regarding awareness, limitations and perspectives for the development of a sustainable marketing mix in the enterprises operating in Poland’s HECG sector, it can be concluded that there are many more problems and difficulties in implementing sustainable marketing mix programs than there are prospects for the development of this concept.

show abstract

On the Statistical Discrepancy and Affinity of Priority Vector Heuristics in Pairwise-Comparison-Based Methods

Cited by 4 publications

References 103 publications

The uncertainty related to the inexactitude of prioritization based on consistent pairwise comparisons

The uncertainty related to the inexactitude of prioritization based on consistent pairwise comparisons

Comparative Sensitivity Analysis of Some Fuzzy AHP Methods

Prospects and Constraints of Sustainable Marketing Mix Development for Poland’s High-Energy Consumer Goods

Contact Info

Product

Resources

About