Applied Mathematics and Applications of Multi-criteria Decision-Making Methods

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 1 June 2025 | Viewed by 595

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School of Engineering and Sciences, Universidade Estadual Paulista, São Paul 01049-010, Brazil
Interests: analytic hierarchy process; fuzzy sets; supply chain management
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Special Issue Information

Dear Colleagues,

Multi-criteria decision-making (MCDM), a discipline where a dozen methods have been developed to solve decision problems involving more than one criterion (sometimes conflicting criteria), is still attracting the attention of researchers worldwide. One of the reasons for this is the flexibility of the methods that can be adapted to solve almost any decision problem, if not all. Decision problems solved via MCDM spread to diverse fields including computing, engineering, health and medicine, logistics and transportation, management, politics, and government, to name a few.

We are pleased to invite you to submit practical and original research for this Special Issue (SI) of Mathematics dedicated to MCDM. Within the scope of the journal, the research must focus on the mathematical modeling of MCDM: How were the criteria weights or alternative scores measured and obtained? How were these data treated? How were the results analyzed?

Studies from case researches are especially welcomed, since our aim is to publish papers on new applications of multi-criteria decision-making (MCDM) methods. Theoretical or methodological studies will also be accepted, as long as they include a practical example in their contribution. Furthermore, literature reviews will be considered, since MCDM theory continues to evolve.

The following provide a very comprehensive, but not exclusive, list of topics for the SI:

  • Artificial intelligence.
  • Behavioral issues.
  • Computing and software.
  • Crisis, disaster, and emergency management.
  • Decision support systems.
  • Energy and fuel consumption.
  • Environmental, social, and corporate governance.
  • Finance and economics.
  • Fuzzy sets approaches.
  • Group decision-making.
  • Human resources management.
  • Information and communication technology.
  • Logistics and transportation.
  • Marketing.
  • Negotiation and conflict resolution.
  • Operations and production management.
  • Project management.
  • Quality management.
  • Supply chain management.
  • Tourism.
  • Urban planning and smart cities.

Dr. Valério Salomon
Guest Editor

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Keywords

  • analytic hierarchy process (AHP)
  • analytic network process (ANP)
  • best–worst method (BWM)
  • complex proportional assessment (COPRAS)
  • data envelopment analysis (DEA)
  • elimination and choice translating reality (ELECTRE)
  • full consistency method (FUCOM)
  • multi-attribute utility theory (MAUT)
  • multi-attribute value theory (MAVT)
  • step-wise weights assessment ratio analysis (SWARA)
  • technique for order preference by similarity to ideal solution (TOPSIS)

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Published Papers (1 paper)

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Research

15 pages, 343 KiB  
Article
Intuitionistic Fuzzy Ordinal Priority Approach with Grey Relational Analysis
by Priyanka Majumder and Valerio Antonio Pamplona Salomon
Mathematics 2024, 12(19), 3156; https://doi.org/10.3390/math12193156 - 9 Oct 2024
Abstract
Multi-attribute decision-making (MADM) is a methodology for solving decision problems with a finite set of alternatives. The several methods of MADM require weights for the criteria and the alternatives to provide a solution. The Ordinal Priority Approach (OPA) is a recently proposed method [...] Read more.
Multi-attribute decision-making (MADM) is a methodology for solving decision problems with a finite set of alternatives. The several methods of MADM require weights for the criteria and the alternatives to provide a solution. The Ordinal Priority Approach (OPA) is a recently proposed method for MADM that innovates; it does not require these inputs, just the rankings of criteria and alternatives. This article introduces a new hybrid method for MADM: the Intuitionistic Fuzzy Ordinal Priority Approach with Grey Relational Analysis (OPA-IF-GRA). OPA-IF-GRA combines GRA with OPA-IF, a newer extension of OPA that includes intuitionistic fuzzy sets to incorporate uncertainty into the decision-making process. The article presents an OPA-IF-GRA application for solving an electronics engineering problem, considering four criteria and six alternatives. The solution of OPA-IF-GRA is compared with the solutions obtained with three other MADM methods. Full article
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