scholarly journals New approaches to multiciterial evaluation of alternatives in decision-making

2021 ◽  
Vol 244 ◽  
pp. 11011
Author(s):  
Sergey Barkalov ◽  
Olga Bekirova ◽  
Olga Sokolova ◽  
Evgeniya Zenkova
Keyword(s):  
Decision Making ◽  
Mathematical Models ◽  
Assessment Criteria ◽  
Typical Problem ◽  
Indicator Value ◽  
New Approaches ◽  
Multicriteria Assessment ◽  
Numerical Indicator ◽  
Integral Assessment ◽  
Integral Indicator

This work is devoted to the development of mathematical models that make it possible to generalize the data obtained in the multicriteria assessment of alternatives when making decisions under certainty conditions. A typical problem in multi-criteria assessment is the integration of particular criteria-based assessments of alternatives into some integral indicator reflecting the degree of attractiveness of alternatives. Traditionally, for these purposes, an additive method was used, which consists in the fact that the final assessment of the alternative is the sum of the assessments by the criteria, possibly multiplied by the weights of the criteria. However, this approach has a number of significant disadvantages, which include the following. When evaluating alternatives, such an indicator of their validity as feasibility is not taken into account, which leads to a distortion of the result due to too simple or difficult criteria. Evaluations of alternatives by qualitative and attributive criteria are subjective, since they are obtained by expert methods, which introduces subjectivity into the integral assessment of the alternative. The integral assessment of an alternative depends on the composition and number of assessed alternatives and on the set of assessment criteria. To eliminate the second drawback, a model for evaluating qualitative alternatives is proposed, which implies the introduction of a certain numerical indicator for a qualitative criterion, which for each alternative have a different meaning, while the attractiveness of the alternative depends on the indicator value. The set of alternatives in relation to the indicator is considered fuzzy, with the belonging function depending on the indicator.

Assessment criteria for aggregate social welfare

2020 ◽  
Vol 19 (12) ◽  
pp. 2358-2371
Author(s):  
S.A. Moskal'onov
Keyword(s):  
Social Welfare ◽  
Mathematical Analysis ◽  
Exchange Economy ◽  
Assessment Criteria ◽  
Impossibility Theorem ◽  
New Approaches ◽  
History Of Development ◽  
Arrow's Impossibility Theorem ◽  
History Of

Subject. The article addresses the history of development and provides the criticism of existing criteria for aggregate social welfare (on the simple exchange economy (the Edgeworth box) case). Objectives. The purpose is to develop a unique classification of criteria to assess the aggregate social welfare. Methods. The study draws on methods of logical and mathematical analysis. Results. The paper considers strong, strict and weak versions of the Pareto, Kaldor, Hicks, Scitovsky, and Samuelson criteria, introduces the notion of equivalence and constructs orderings by Pareto, Kaldor, Hicks, Scitovsky, and Samuelson. The Pareto and Samuelson's criteria are transitive, however, not complete. The Kaldor, Hicks, Scitovsky citeria are not transitive in the general case. Conclusions. The lack of an ideal social welfare criterion is the consequence of the Arrow’s Impossibility Theorem, and of the group of impossibility theorems in economics. It is necessary to develop new approaches to the assessment of aggregate welfare.

An algebraic approach to N-soft sets with application in decision-making using TOPSIS

2021 ◽  
pp. 1-21
Author(s):  
Muhammad Shabir ◽  
Rimsha Mushtaq ◽  
Munazza Naz
Keyword(s):  
Decision Making ◽  
Mathematical Models ◽  
Real World ◽  
Algebraic Approach ◽  
Multi Criteria Decision Making ◽  
Commutative Monoids ◽  
Soft Sets ◽  
Algebraic Properties ◽  
Different Types ◽  
Selection Of

In this paper, we focus on two main objectives. Firstly, we define some binary and unary operations on N-soft sets and study their algebraic properties. In unary operations, three different types of complements are studied. We prove De Morgan’s laws concerning top complements and for bottom complements for N-soft sets where N is fixed and provide a counterexample to show that De Morgan’s laws do not hold if we take different N. Then, we study different collections of N-soft sets which become idempotent commutative monoids and consequently show, that, these monoids give rise to hemirings of N-soft sets. Some of these hemirings are turned out as lattices. Finally, we show that the collection of all N-soft sets with full parameter set E and collection of all N-soft sets with parameter subset A are Stone Algebras. The second objective is to integrate the well-known technique of TOPSIS and N-soft set-based mathematical models from the real world. We discuss a hybrid model of multi-criteria decision-making combining the TOPSIS and N-soft sets and present an algorithm with implementation on the selection of the best model of laptop.

Similarity-Based Decision Support for Internet Enabled Supply-Web Interactions

1998 ◽  
Author(s):  
Raj Veeramani ◽  
Narayanan Viswanathan ◽  
Shailesh M. Joshi
Keyword(s):  
Decision Making ◽  
Decision Support ◽  
Manufacturing Industry ◽  
Job Shop ◽  
The Internet ◽  
Agent Based ◽  
New Approaches ◽  
Effective Decision ◽  
Use Of The Internet ◽  
Effective Decision Making

Abstract New approaches for decision making are emerging to support the use of the Internet for supply-web interactions in the manufacturing industry. In this paper, we discuss one such paradigm, namely similarity-based decision support. It recognizes that knowledge of similar experiences can support rapid and effective decision making in various forms of supply-web interactions. We illustrate this approach using two prototype systems, WebScout (an agent-based system for customer–supplier matchmaking in the job-shop machining industry context) and TOME (Treasury of Manufacturing Experiences — an Intranet application to aid manufacturability assessment in foundries).

Mathematical models of foreign policy decision-making: Compensatory vs. noncompensatory

Synthese ◽  
1994 ◽  
Vol 100 (3) ◽  
pp. 441-460 ◽  
Author(s):  
Alex Mintz ◽  
Nehemia Geva ◽  
Karl Derouen
Keyword(s):  
Decision Making ◽  
Foreign Policy ◽  
Mathematical Models ◽  
Policy Decision ◽  
Policy Decision Making

scholarly journals ANALISIS RULE INFERENSI FUZZY MAMDANI DALAM MENENTUKAN IPK AKHIR

2017 ◽  
Vol 1 (1) ◽  
pp. 22
Author(s):  
Khairul Saleh
Keyword(s):  
Decision Making ◽  
Fuzzy Logic ◽  
Mathematical Models ◽  
Dynamic Systems ◽  
Fuzzy Systems ◽  
Chaotic Dynamics ◽  
Complex Dynamic ◽  
Grade Point ◽  
Complex Dynamic Systems ◽  
Decision Making System

Abstract - In the world of education to achieve the level of success, of course, they have a benchmark for the success of students, one of them is the Grade Point Average (GPA). The purpose of this study is to determine the final GPA so that later it can be used as a reference to predict the success rate of students. The issue of decision-making systems using Fuzzy systems is very suitable for definite reasoning or estimation, especially for systems with strict mathematical models that are difficult to get a definite decision. Fuzzy logic can be used to describe a system of chaotic dynamics, and fuzzy logic can be useful for complex dynamic systems where solutions to common mathematical models cannot work well. The Mamdani method computes efficiently and works well with optimization and adaptive techniques, which makes it very good in control problems, especially for dynamic non-linear systems. Keywords - Cumulative Achievement Index (GPA), fuzzy system, decision making system, mamdani information

scholarly journals Identification of reverse logistics decision types from mathematical models

2018 ◽  
Vol 11 (2) ◽  
pp. 239 ◽  
Author(s):  
Pascual Cortés Pellicer ◽  
Faustino Alarcón Valero
Keyword(s):  
Decision Making ◽  
Mathematical Models ◽  
Reverse Logistics ◽  
Business Processes ◽  
Raw Materials ◽  
Decision Makers ◽  
Social Awareness ◽  
Decision Variables ◽  
Object Of Study ◽  
Aid Decision

Purpose: The increase in social awareness, politics and environmental regulation, the scarcity of raw materials and the desired “green” image, are some of the reasons that lead companies to decide for implement processes of Reverse Logistics (RL). At the time when incorporate new RL processes as key business processes, new and important decisions need to be made. Identification and knowledge of these decisions, including the information available and the implications for the company or supply chain, will be fundamental for decision-makers to achieve the best results. In the present work, the main types of RL decisions are identified.Design/methodology/approach: This paper is based on the analysis of mathematical models designed as tools to aid decision making in the field of RL. Once the types of interest work to be analyzed are defined, those studies that really deal about the object of study are searched and analyzed. The decision variables that are taken at work are identified and grouped according to the type of decision and, finally, are showed the main types of decisions used in mathematical models developed in the field of RL.    Findings: The principal conclusion of the research is that the most commonly addressed decisions with mathematical models in the field of RL are those related to the network’s configuration, followed by tactical/operative decisions such as the selections of product’s treatments to realize and the policy of returns or prices, among other decisions.Originality/value: The identification of the main decisions types of the reverse logistics will allow the managers of these processes to know and understand them better, while offer an integrated vision of them, favoring the achievement of better results. 

Collection Management Issues with Geospatial Information

2011 ◽  
pp. 202-238 ◽  
Author(s):  
John Abresch ◽  
Ardis Hanson ◽  
Peter J. Rheeling
Keyword(s):  
Decision Making ◽  
New Technology ◽  
Collection Management ◽  
Changing Environment ◽  
Geospatial Information ◽  
Library Collection ◽  
New Approaches ◽  
Digital Formats ◽  
Management Issues ◽  
Print Format

Among the most challenging aspects of GIS are identifying needs, acquiring resources, and managing the collection, a process that involves decision making in a dynamic and changing environment. Libraries that have traditionally collected maps have a good grounding in many of the issues, yet even they must learn new approaches, new technology, and think beyond the needs of traditional map users. Librarians will find challenges throughout the life of geospatial information, from its acquisition to its disposition, especially as a library collection migrates from a primarily print format to a focus on digital formats.

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