A subjective approach to fuzzy events and their coherent probability assessment for decision making under uncertainty

Maturo, Fabrizio

doi:10.1080/09720502.2018.1456006

Cited by 8 publications

(3 citation statements)

References 21 publications

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“…RCC defines qualitative spatial relations between regions that can be applied in conceptual spaces [57], making it a sound candidate for building representations. This need for representation also extends to capturing uncertainty, which would require richer visual metaphors as they support decision-making by stakeholders [97,98].…”

Section: Example Ii: Spatial Interpretation For Ontology Reasoningmentioning

confidence: 99%

A Logical–Algebraic Approach to Revising Formal Ontologies: Application in Mereotopology

Aranda-Corral,

Borrego-Díaz,

Chávez-González

et al. 2024

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In ontology engineering, reusing (or extending) ontologies poses a significant challenge, requiring revising their ontological commitments and ensuring accurate representation and coherent reasoning. This study aims to address two main objectives. Firstly, it seeks to develop a methodological approach supporting ontology extension practices. Secondly, it aims to demonstrate its feasibility by applying the approach to the case of extending qualitative spatial reasoning (QSR) theories. Key questions involve effectively interpreting spatial extensions while maintaining consistency. The framework systematically analyzes extensions of formal ontologies, providing a reconstruction of a qualitative calculus. Reconstructed qualitative calculus demonstrates improved interpretative capabilities and reasoning accuracy. The research underscores the importance of methodological approaches when extending formal ontologies, with spatial interpretation serving as a valuable case study.

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Section: Example Ii: Spatial Interpretation For Ontology Reasoningmentioning

confidence: 99%

A Logical–Algebraic Approach to Revising Formal Ontologies: Application in Mereotopology

Aranda-Corral,

Borrego-Díaz,

Chávez-González

et al. 2024

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show abstract

“…In addition, based on cost considerations and effectiveness, in order to make decisions quickly and accurately in a short time, the sample size n is usually not too large in practice; consequently, the accuracy of statistical inference will be affected [23,24]. Since the fuzzy testing model based on the confidence interval can be incorporated into the past accumulated experience of data experts [25,26], the testing accuracy can be improved under the condition of small-sized samples. Therefore, this paper will derive the confidence interval of the App performance index to construe a fuzzy number and a membership function of the APP performance index.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Evaluation Model of Bank APP Performance Based on Circular Economy Thinking

et al. 2021

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As the environment of the Internet of Things (IoT) gradually becomes common and mature, various smart application (APP) platforms have sprung up, making what we are doing more convenient, more economical and more efficient. Then, this paper used a bank APP as the research background to discuss issues related to smart APPs. Obviously, through the bank APPs, customers can complete their transfer and payment for various expenses at home, eliminating the inconvenience of going out, which not only can alleviate traffic congestion as well as reduce carbon emissions but also can save the manpower expenditure costs for banks. Consequently, improving APP performance and increasing the number of users of an APP is a very important issue. Therefore, this paper proposed an APP performance index to evaluate the performance of a bank APP. This APP performance index is to evaluate the performance of the APP through the time interval of customers’ access to the APP. The shorter the time interval is, the greater the number of users within a unit time is. In addition, based on cost considerations and effectiveness, the sample size n is usually not too large in practice, in order to make decisions quickly and accurately in a short time. Since the fuzzy testing model based on the confidence interval can be integrated with the past accumulated experience of data experts, the testing accuracy can be leveled up under the condition of small-sized samples. Accordingly, a fuzzy evaluation model was proposed to evaluate whether the performance of the bank APP can reach the required level, and this model was also regarded as a basis for decision-making to determine whether to improve the bank APP. At the same time, we can grasp the opportunities for improvement, achieve the effect of cost reduction, energy saving and carbon reduction, and further move towards the goal of innovative and intelligent management.

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“…Uncertainty about a state of nature of a contingent consumption plan has to be interpreted in a personalistic sense within this context, so it depends on a lack of information of the consumer evaluating (see also Capotorti et al (2014)). Uncertainty about a state of nature of a contingent consumption plan consequently ceases only when she receives certain information about it (see also Machina (1987);de Finetti (1982b); Hoskova-Mayerova and Maturo (2018); Hošková-Mayerová et al (2017);de Finetti (1989); Maturo (2018aMaturo ( , 2018b).…”

Section: Introductionmentioning

confidence: 99%

The consumer’s demand functions defined to study contingent consumption plans

Angelini

Maturo

2021

Qual Quant

Self Cite

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Given two probability distributions expressing returns on two single risky assets of a portfolio, we innovatively define two consumer’s demand functions connected with two contingent consumption plans. This thing is possible whenever we coherently summarize every probability distribution being chosen by the consumer. Since prevision choices are consumption choices being made by the consumer inside of a metric space, we show that prevision choices can be studied by means of the standard economic model of consumer behavior. Such a model implies that we consider all coherent previsions of a joint distribution. They are decomposed inside of a metric space. Such a space coincides with the consumer’s consumption space. In this paper, we do not consider a joint distribution only. It follows that we innovatively define a stand-alone and double risky asset. Different summary measures of it characterizing consumption choices being made by the consumer can then be studied inside of a linear space over $${\mathbb {R}}$$ R . We show that it is possible to obtain different summary measures of probability distributions by using two different quadratic metrics. In this paper, our results are based on a particular approach to the origin of the variability of probability distributions. We realize that it is not standardized, but it always depends on the state of information and knowledge of the consumer.

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A subjective approach to fuzzy events and their coherent probability assessment for decision making under uncertainty

Cited by 8 publications

References 21 publications

A Logical–Algebraic Approach to Revising Formal Ontologies: Application in Mereotopology

A Logical–Algebraic Approach to Revising Formal Ontologies: Application in Mereotopology

Fuzzy Evaluation Model of Bank APP Performance Based on Circular Economy Thinking

The consumer’s demand functions defined to study contingent consumption plans

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