Rough sets analysis with antisymmetric and intransitive attributes: classification of brazilian soccer clubs

Sant’Anna, Annibal Parracho

doi:10.1590/s0101-74382008000200003

Cited by 8 publications

(1 citation statement)

References 7 publications

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“…If different scales of measurement of a single attribute have different meanings for different objectives, this same attribute may be used in different criteria with different roughness [22,23]. For instance, a complementary criterion can be built by imposing a transitivity requirement on experts' ratings to tie more pairs of alternatives.…”

Section: Methodsmentioning

confidence: 99%

Standards for the Weighting of Criteria and the Measurement of Interaction

Sant’Anna

2021

Standards

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This article discusses the need for standards for the assignment of importance to criteria and the measurement of interaction between them in multiple criteria analyses of complex systems. A strategy for criteria evaluation is considered that is suitable to account for the interaction among a wide variety of imprecisely assessed criteria applied simultaneously. It is based on the results of collecting sample information on preferences according to the specified criteria instead of merely an abstract comparison of the criteria. The comparison of alternatives is based on objectives that determine the formation of preferences. It is facilitated by a rating in terms of preference probabilities. Probabilistic standards grant homogeneity of measurements by different criteria, which is useful for the combination of the criteria. These standards apply to a sampling evaluation conducted via pairwise trichotomic comparison of the alternatives according to each criterion, followed by the combination of these multiple evaluations into a single global score by means of the Choquet Integral with respect to a capacity determined by applying preference concentration to the sets of probabilistic assessments. Examples of practical application are discussed.

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Section: Methodsmentioning

confidence: 99%

Standards for the Weighting of Criteria and the Measurement of Interaction

Sant’Anna

2021

Standards

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Lagrange Multipliers in the Probability Distributions Elicitation Problem: An Application to the 2013 Fifa Confederations Cup

Bezerra

Rêgo

2015

Pesqui. Oper.

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Contributions from the sensitivity analysis of the parameters of the linear programming model for the elicitation of experts' beliefs are presented. The process allows for the calibration of the family of probability distributions obtained in the elicitation process. An experiment to obtain the probability distribution of a future event (Brazil vs. Spain soccer game in the 2013 FIFA Confederations Cup final game) was conducted. The proposed sensitivity analysis step may help to reduce the vagueness of the information given by the expert.

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Simulation-Based Methodology for Predicting Football Match Outcomes Considering Experts' Opinions: The 2010 and 2014 Football World Cup Cases

et al. 2015

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In this paper we propose a simulation-based method for predicting the 2010 and 2014 Football World Cup. Adopting a bayesian perspective, we modeled the number of goals of two opposing teams as a Poisson distribution whose mean is proportional to the relative technical level of opponents. FIFA ratings were taken as the measure of technical level of teams and experts' opinions about scores of matches were taken to construct prior distribution of parameters. Just before each round, tournament simulations were performed in order to estimate probabilities of events of main interest for audience and bettors such as qualifying to the knockout stage, reaching semifinals , reaching the final match, winning the tournament, among others.

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Rough sets analysis with antisymmetric and intransitive attributes: classification of brazilian soccer clubs

Cited by 8 publications

References 7 publications

Standards for the Weighting of Criteria and the Measurement of Interaction

Standards for the Weighting of Criteria and the Measurement of Interaction

Lagrange Multipliers in the Probability Distributions Elicitation Problem: An Application to the 2013 Fifa Confederations Cup

Simulation-Based Methodology for Predicting Football Match Outcomes Considering Experts' Opinions: The 2010 and 2014 Football World Cup Cases

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