Research on methods for modifying membership functions of fuzzy sets based on pattern-Reference-Cited by-同舟云学术

Research on methods for modifying membership functions of fuzzy sets based on pattern

Published:2024 Issue:6 Volume: Page:1-19
ISSN:2071-2898
Container-title:Keldysh Institute Preprints
language:
Short-container-title:KIAM Prepr.

Author:

Barchev Nikolay Borisovich^ORCID,Sudakov Vladimir Anatolievich^ORCID

Abstract

Fuzzy set membership functions are widely used to reflect expert preferences in situations of uncertainty. Procedures for modifying membership functions provide the opportunity to obtain new functions based on existing ones without the additional involvement of experts. The work examines existing and proposes new approaches to the construction of modification procedures, methods for their implementation and compensation for the difficulties arising in this case.

Publisher

Keldysh Institute of Applied Mathematics

Reference20 articles.

1. Borisov A., Krumberg O.: Theory of Possibility for Decision-Making. Fuzzy Sets and Systems 9 (1), 13 – 23, 1983.

2. Борисов А.Н., Крумберг О.А., Федоров И.П. Принятие решений на основе нечетких моделей: Примеры использования. – Рига: Зинатне, 1990.

3. Модели принятия решений на основе лингвистической переменной. / Борисов А.Н., Алексеев А.В., Крумберг О.А. и др. – Рига: Зинатне, 1982.

4. Alexeyev A., Borisov A., Glushkov V., Krumberg O., Merkuryeva G., Popov V., Slyadz N.: A Linguistic Approach to Decision-Making Problems. Fuzzy Sets and Systems 22 (1–2), pp. 25–41, 1987.

5. Нечеткие множества в моделях управления и искусственного интеллекта. / Под ред. Д.А. Поспелова. – М.: Наука. Гл. ред. физ.-мат. лит., 1986.