scholarly journals Inconsistency evaluation in pairwise comparison using norm-based distances

2020 ◽  
Vol 43 (2) ◽  
pp. 657-672 ◽  
Author(s):  
Michele Fedrizzi ◽  
Nino Civolani ◽  
Andrew Critch
Keyword(s):  
Linear Space ◽  
General Framework ◽  
Pairwise Comparison ◽  
Equivalence Classes ◽  
Preference Aggregation ◽  
Symmetric Matrices ◽  
Pairwise Comparison Matrix ◽  
Group Preference ◽  
Common Value ◽  
Inconsistency Index

AbstractThis paper studies the properties of an inconsistency index of a pairwise comparison matrix under the assumption that the index is defined as a norm-induced distance from the nearest consistent matrix. Under additive representation of preferences, it is proved that an inconsistency index defined in this way is a seminorm in the linear space of skew-symmetric matrices and several relevant properties hold. In particular, this linear space can be partitioned into equivalence classes, where each class is an affine subspace and all the matrices in the same class share a common value of the inconsistency index. The paper extends in a more general framework some results due, respectively, to Crawford and to Barzilai. It is also proved that norm-based inconsistency indices satisfy a set of six characterizing properties previously introduced, as well as an upper bound property for group preference aggregation.

scholarly journals A Decision Analysis Model for the Brand Experience of Branded Apps Using Consistency Fuzzy Linguistic Preference Relations

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1151
Author(s):  
Tsuen-Ho Hsu ◽  
Chun-Hsien Chen ◽  
Ya-Wun Yang
Keyword(s):  
Customer Loyalty ◽  
Pairwise Comparison ◽  
Brand Experience ◽  
Decision Analysis Model ◽  
Analysis Model ◽  
Pairwise Comparison Matrix ◽  
Preference Relations ◽  
New Business ◽  
Fuzzy Linguistic ◽  
The Impact

Branded apps are not only an important platform for enterprises and customers to have real-time interactions and communicate marketing messages, but also a new business model that encourages value co-creation between the two. In order to explore the impact of branded apps on customers, this study constructs a fuzzy multi-criteria decision making (FMCDM) analysis model, and it uses consistent fuzzy linguistic preference relations (CFLPR) to set up a symmetric pairwise comparison matrix, which greatly reduces the complexity and error rate of calculations. Empirical research findings show that brand experience attributes and the influence of brand experience on customer loyalty and satisfaction can be more accurately measured. As a consequence of this study, we show that, among the brand experience facets of two retail chain branded apps, behavioral experience is the most favored, while affective experience is the least favored. Furthermore, brand attachment and active participation should be strengthened to enhance customer loyalty. Through the analytical model employed in this study, enterprises can regularly monitor changes in the brand experience preferences of branded app users and evaluate app performance to flexibly adjust mobile device-based marketing campaigns and strategies. It can also aid enterprises in using mobile devices effectively to improve customer loyalty and address the issue of diminishing brand loyalty.

scholarly journals An Approach for Generating Weights Using the Pairwise Comparison Matrix

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Zaher Sepehrian ◽  
Sahar Khoshfetrat ◽  
Said Ebadi
Keyword(s):  
Pairwise Comparison ◽  
Decision Criterion ◽  
Data Envelopment ◽  
Decision Criteria ◽  
Analytic Hierarchy ◽  
Pairwise Comparison Matrix ◽  
Proposed Model ◽  
Assurance Region ◽  
Potential Applications ◽  
Hierarchy Process

Data envelopment analysis (DEA) has been used for obtaining weights for the analytic hierarchy process (AHP), an approach known as DEAHP. This method sometimes identifies more than one decision criterion or alternative as DEAHP-efficient. To overcome this problem, this paper proposes a new approach that not only generates appropriate weights for the decision criteria or alternatives, but also differentiates between DEAHP-efficient decision criteria or alternatives. To this end, we propose a DEA model with an assurance region and a cross-weight model that prioritizes decision criteria or alternatives by considering their most unfavorable weights. Two numerical examples are also provided to illustrate the advantages and potential applications of the proposed model.

scholarly journals AHP PRIORITIES AND MARKOV-CHAPMAN-KOLMOGOROV STEADY-STATES PROBABILITIES

2015 ◽  
Vol 7 (2) ◽  
Author(s):  
Stan Lipovetsky
Keyword(s):  
Steady State ◽  
General Solution ◽  
Stochastic Modeling ◽  
Pairwise Comparison ◽  
System Of Equations ◽  
Pairwise Comparison Matrix ◽  
Pair Comparison ◽  
Priority Vector ◽  
Discrete States ◽  
Steady State Probabilities

<div class="MsoTitle" style="margin: 12pt 0in 15pt;"><p>An AHP matrix of the quotients of the pair comparison priorities is transformed to a matrix of shares of the preferences which can be used in Markov stochastic modeling via the Chapman-Kolmogorov system of equations for the discrete states. It yields a general solution and the steady-state probabilities. The AHP priority vector can be interpreted as these probabilities belonging to the discrete states corresponding to the compared items. The results of stochastic modeling correspond to robust estimations of priority vectors not prone to influence of possible errors among the elements of a pairwise comparison matrix.</p></div><div class="MsoTitle" style="margin: 12pt 0in 15pt;"> </div>

Application of AHP and Geospatial Techniques for Evaluating Gully Erosion Vulnerability in Benin City, Edo State, Nigeria

2021 ◽  
Vol 2 (1) ◽  
pp. 1-15
Author(s):  
Deborah Alaigba ◽  
Keyword(s):  
Drainage System ◽  
Pairwise Comparison ◽  
Road Construction ◽  
Gully Erosion ◽  
Control Measures ◽  
Pairwise Comparison Matrix ◽  
Geospatial Techniques ◽  
Benin City ◽  
The People ◽  
And Control

Gully erosion remains a major threat to the people of Benin City. This study applies Analytical Hierarchical Process (AHP) and geospatial techniques to evaluate vulnerability to gully erosion in Benin City, Nigeria. Five essential criteria were identified based on literature, and evaluation by experts. Pairwise Comparison Matrix (PCM) was obtained and weights for each of the PCM were determined using AHP. The consistency of generated weights obtained is not above 0.07. The method resulted in a gully erosion vulnerability model. Analysis of the model revealed that 52.1% (488.69Km2) of the area is vulnerable to gully erosion, while 3.4% (32.37 Km2) was found to be highly vulnerable to gully erosion. Fieldwork was conducted to establish the people’s perception and identify the causes and control measures for the gully erosion problem in the area. Findings on the major contributing factor that leads to the gully erosion formation showed that lack of drainage system accounts for 56.25%, improper land use practice account for 25%, and bad road construction (18.75%). About 50% of the respondents are of the view that an adequate drainage system would go a long way to mitigate the gully erosion. This present study has provided information on the state of gully erosion vulnerability in Benin City through mapping of vulnerable areas.

scholarly journals Strategic sourcing: Developing a progressive framework for make-or-buy decisions

2020 ◽  
Vol 13 (1) ◽  
pp. 133
Author(s):  
Rubén Medina-Serrano ◽  
Reyes González-Ramírez ◽  
Jose Gasco-Gasco ◽  
Juan Llopis-Taverner
Keyword(s):  
Supply Chain ◽  
Literature Review ◽  
Graphical Representation ◽  
Qualitative Interviews ◽  
Pairwise Comparison ◽  
Decision Matrix ◽  
Pairwise Comparison Matrix ◽  
Chain Management ◽  
Strategic Sourcing

Purpose: Make-or-buy decisions represent a critical dilemma faced by many firms. The appropriate decision between designing and manufacturing parts or services in-house, buying them from external providers or combining both is a fundamental firm process. This paper seeks to address this question by updating the traditional make-or-buy literature with new academic insights, developing a make-or-buy framework with a tool for its operationalisation to help managers evaluate sourcing decisions.Design/methodology/approach:  First, a literature review of the principal theories and approaches about make-or-buy decisions is discussed. Second, the development of the make-or-buy framework is described and explained based on the results of qualitative interviews with practitioners and a set of interviews of an in-firm case study. Third, the results and the implementation of the framework are outlined.Findings: Our study not only validates the proposed framework through a set of in-firm make-or-buy decisions, but also provides a structure for its implementation and design a decision matrix with a pairwise comparison tool for helping practitioners to put the framework into practice.Research limitations/implications: This paper aims to contribute to the study of the make-or-buy literature in supply chain management through the graphical representation of why and how make-or-buy decisions are made. Interestingly, the paper presents relevant dimensions and factors to be studied and evaluates possible outcomes when approaching make-or-buy decisions.Originality/value: Our results suggest that practitioners should combine this framework with a pairwise comparison matrix and a multi-criteria decision analysis based on the TOPSIS methodology to assess strategic sourcing decisions.

scholarly journals Application of the AHP-BWM Model for Evaluating Driver Behavior Factors Related to Road Safety: A Case Study for Budapest

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 243 ◽  
Author(s):  
Sarbast Moslem ◽  
Danish Farooq ◽  
Omid Ghorbanzadeh ◽  
Thomas Blaschke
Keyword(s):  
Decision Making ◽  
Road Safety ◽  
Driver Behavior ◽  
Pairwise Comparison ◽  
Scientific Data ◽  
Analytic Hierarchy ◽  
Pairwise Comparison Matrix ◽  
Proposed Model ◽  
Decision Making Problem ◽  
Complex Decision Making

The use of driver behavior has been considered a complex way to solve road safety complications. Car drivers are usually involved in various risky driving factors which lead to accidents where people are fatally or seriously injured. The present study aims to dissect and rank the significant driver behavior factors related to road safety by applying an integrated multi-criteria decision-making (MCDM) model, which is structured as a hierarchy with at least one 5 × 5 (or bigger) pairwise comparison matrix (PCM). A real-world, complex decision-making problem was selected to evaluate the possible application of the proposed model (driver behavior preferences related to road safety problems). The application of the analytic hierarchy process (AHP) alone, by precluding layman participants, might cause a loss of reliable information in the case of the decision-making systems with big PCMs. Evading this tricky issue, we used the Best Worst Method (BWM) to make the layman’s evaluator task easier and timesaving. Therefore, the AHP-BWM model was found to be a suitable integration to evaluate risky driver behavior factors within a designed three-level hierarchical structure. The model results found the most significant driver behavior factors that influence road safety for each level, based on evaluator responses on the driver behavior questionnaire (DBQ). Moreover, the output vector of weights in the integrated model is more consistent, with results for 5 × 5 PCMs or bigger. The proposed AHP-BWM model can be used for PCMs with scientific data organized by traditional means.

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