Top

Scientific and Technical Information Processing

Published in:

01-12-2023

Algorithm for the Reduction of the Pareto Set Using a Collection of Fuzzy Information Quanta

Author: V. D. Noghin

Published in: Scientific and Technical Information Processing | Issue 6/2023

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

This paper deals with the multi-criteria problem of choice with a numerical vector function defined on a set of feasible variants. It is assumed that the decision maker uses a fuzzy preference relation for the choice process. Information on the preference relation is considered to be known in the form of a finite collection of fuzzy quanta. We formulate an algorithm to reduce the Pareto set in the multicriteria choice problem using the set of quanta in order to facilitate the final choice. A numerical example illustrates the operation of the algorithm.

previous article System-Object Determinant Analysis. Partitive Сlassification Using a Formal-Semantic Normative System

next article Information-Logical Model of the Scientific and Technological Potential of Preventive and Personalized Medicine

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Noghin, V.D., Reduction of the Pareto Set: An Axiomatic Approach, Studies in Systems, Decision and Control, vol. 126, Cham: Springer, 2018. https://doi.org/10.1007/978-3-319-67873-3

Noghin, V.D. and Baskov, O.V., Pareto set reduction based on an arbitrary finite collection of numerical information on the preference relation, Dokl. Math., 2011, vol. 83, no. 3, pp. 418–420. https://doi.org/10.1134/s1064562411030288MathSciNetCrossRef

Zadeh, L.A., Fuzzy sets, Inf. Control, 1965, vol. 8, no. 3, pp. 338–353. https://doi.org/10.1016/s0019-9958(65)90241-xCrossRef

Klir, G. and Yuan, B., Fuzzy Sets and Fuzzy Logic: Theory and Applications, New Jersey: Prentice Hall RTR, 1995.

Orlovskii, S.A., Problemy prinyatiya reshenii pri nechetkoi iskhodnoi informatsii (Problems of Decision Making at Fuzzy Initial Information), Moscow: Nauka, 1981.

Nogin, V.D., Mnozhestvo i printsip Pareto (Pareto Set and Principle), St. Petersburg: Izdatel’sko-Poligraficheskaya Assotsiatsiya Vuzov, 2022.

Rockafellar, R.T., Convex Analysis, Princeton Mathematical Series, Princeton, N.J.: Princeton Univ. Press, 1970.CrossRef

Schrijver, A., Theory of Linear and Integer Programming, Wiley-Interscience Series in Discrete Mathematics and Optimization, Chichester: John Wiley & Sons, 1986.

Noghin, V.D., Multicriteria choice based on fuzzy information, Sci. Tech. Inf. Process., 2020, vol. 47, no. 5, pp. 275–283. https://doi.org/10.3103/s0147688220050044CrossRef

Title: Algorithm for the Reduction of the Pareto Set Using a Collection of Fuzzy Information Quanta
Author: V. D. Noghin
Publication date: 01-12-2023
Publisher: Pleiades Publishing
Published in: Scientific and Technical Information Processing / Issue 6/2023
Print ISSN: 0147-6882
Electronic ISSN: 1934-8118
DOI: https://doi.org/10.3103/S0147688223060126

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Other articles of this Issue 6/2023

Visual Decision Support for Curriculum Development Using the UGVA Method

System-Object Determinant Analysis. Construction of Genetic and Partitive Classifications of the Subject Area

Information-Logical Model of the Scientific and Technological Potential of Preventive and Personalized Medicine

Decision-Making in a Conflict Situation with Fuzzy Types of Participants

Comparison of the Methodology for Hypothesis Testing of the Independence of Two-Dimensional Random Variables Based on a Nonparametric Classifier

Data Science: Key Directions, Problems, and Perspectives

Premium Partner