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Axioms
Special Issues
Uncertainty Modeling in Decision Theory
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Uncertainty Modeling in Decision Theory

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Logic".

Deadline for manuscript submissions: closed (30 January 2024) | Viewed by 3533

Special Issue Editors

Dr. Annibal Parracho Santanna

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Guest Editor
School of Engineering, Fluminense Federal University, Rua Passo da Pátria, 156, Niterói 24210-240, RJ, Brazil
Interests: the composition of probabilistic preferences; decision theory; sustainable management systems
Dr. Gilson Brito Alves Lima

E-Mail Website
Guest Editor
Department of Production Engineering, Federal Fluminense University (UFF), Rio de Janeiro, Brazil
Interests: decision support systems; risk analysis; industrial management and reliability
Prof. Dr. Luiz Octávio Gavião

E-Mail Website
Guest Editor
Programa de Pós Graduação em Segurança Internacional e Defesa, Brazilian War College，Rio de Janeiro, Brazil
Interests: multi criteria decision aid methods; defense studies

Special Issue Information

Dear Colleagues, 

This Special Issue explores why uncertainty is taken into consideration when modeling decision problems. We welcome both high-quality original research papers and survey papers related to the theory of modeling uncertainty and the application of the perceived uncertainty to decision theory. Reports on applications are also welcome. We intend to concentrate on the process of transformation of deterministic assessments into probabilities of preference and their use in combining evaluation criteria. The composition of probabilistic preferences, the principle of concentration of preferences, and the management of interaction and correlation between criteria evaluations constitute the central scope of this Special Issue. Nonetheless, other approaches are also of interest. We also recognize the fuzzification of multicriteria composition rules, for instance, as a central topic in this field. The entire field of multicriteria decision analysis, including criteria composition methodology, falls within the scope of this Special Issue. This can be supplemented with theoretical and applied articles on, for example, features or applications of risk theory and pattern recognition.

Dr. Annibal Parracho Santanna
Dr. Gilson Brito Alves Lima
Prof. Dr. Luiz Octávio Gavião
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • modeling and measurement of risk
  • composition of probabilistic preferences
  • principle of preference concentration
  • choice consistency
  • consistency ratios
  • fuzzy numbers and fuzzy logic
  • multicriteria decision making
  • group decision making
  • data envelopment analysis
  • pattern recognition

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Published Papers (2 papers)

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Research

21 pages, 453 KiB  
Article
A Novel Slacks-Based Interval DEA Model and Application
by Manuel Arana-Jiménez, Julio Lozano-Ramírez, M. Carmen Sánchez-Gil, Atefeh Younesi and Sebastián Lozano
Axioms 2024, 13(3), 144; https://doi.org/10.3390/axioms13030144 - 23 Feb 2024
Cited by 1 | Viewed by 1315
Abstract
This paper proposes a novel slacks-based interval DEA approach that computes interval targets, slacks, and crisp inefficiency scores. It uses interval arithmetic and requires solving a mixed-integer linear program. The corresponding super-efficiency formulation to discriminate among the efficient units is also presented. We [...] Read more.
This paper proposes a novel slacks-based interval DEA approach that computes interval targets, slacks, and crisp inefficiency scores. It uses interval arithmetic and requires solving a mixed-integer linear program. The corresponding super-efficiency formulation to discriminate among the efficient units is also presented. We also provide a case study of its application to sustainable tourism in the Mediterranean region, assessing the sustainable tourism efficiency of twelve Mediterranean regions to validate the proposed approach. The inputs and outputs cover the three sustainability dimensions and include GHG emissions as an undesirable output. Three regions were found to be inefficient, and the corresponding inputs and output improvements were computed. A total rank of the regions was also obtained using the super-efficiency model. Full article
(This article belongs to the Special Issue Uncertainty Modeling in Decision Theory)
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26 pages, 355 KiB  
Article
Ratio-Type Estimator for Estimating the Neutrosophic Population Mean in Simple Random Sampling under Intuitionistic Fuzzy Cost Function
by Atta Ullah, Javid Shabbir, Abdullah Mohammed Alomair and Mohammed Ahmed Alomair
Axioms 2023, 12(9), 890; https://doi.org/10.3390/axioms12090890 - 18 Sep 2023
Cited by 1 | Viewed by 1710
Abstract
Survey sampling has a wide range of applications in biomedical, meteorological, stock exchange, marketing, and agricultural research based on data collected through sample surveys or experimentation. The collected set of information may have a fuzzy nature, be indeterminate, and be summarized by a [...] Read more.
Survey sampling has a wide range of applications in biomedical, meteorological, stock exchange, marketing, and agricultural research based on data collected through sample surveys or experimentation. The collected set of information may have a fuzzy nature, be indeterminate, and be summarized by a fuzzy number rather than a crisp value. The neutrosophic statistics, a generalization of fuzzy statistics and classical statistics, deals with the data that have some degree of indeterminacy, imprecision, and fuzziness. In this article, we introduce a fuzzy decision-making approach for deciding a sample size under a fuzzy measurement cost modeled by an intuitionistic fuzzy cost function. Our research introduces neutrosophic ratio-type estimators for estimating the population mean of the neutrosophic study variable YN∈[YL,YU] utilizing all the indeterminate values of the neutrosophic auxiliary variable XN∈[XL,XU] rather than only the extreme values XL and XU. Three simulation studies are carried out to explain the proposed methods of parameter estimation, sample size determination, and efficiency comparison. The results reveal that the proposed neutrosophic class of estimators produces more accurate and precise estimates of the neutrosophic population mean than the existing neutrosophic estimators in simple random sampling, which is the ultimate goal of inferential statistics. Full article
(This article belongs to the Special Issue Uncertainty Modeling in Decision Theory)
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