Hyers-Ulam Stability of Quantum Logic Fuzzy Implication-Reference-Cited by-同舟云学术

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Hyers-Ulam Stability of Quantum Logic Fuzzy Implication

Published:2023-04-28 Issue: Volume:20 Page:131-135
ISSN:2224-3402
Container-title:WSEAS TRANSACTIONS ON INFORMATION SCIENCE AND APPLICATIONS
language:en
Short-container-title:

Author:

Jebril Iqbal H.¹,Abdelqader Najat M.¹

Affiliation:

1. Department of Mathematics, Al-Zaytoonah University of Jordan, Queen Alia Airport St. 594 11942, Amman, JORDAN

Abstract

There are four different types of fuzzy implications in fuzzy logic, referred to as (S, N)-Implications, R-Implications, QL-Implications, and D-Implications. Only one research work on the implications of two functional equations for the Hyers-Ulam stability for (S, N) has been published recently. The Hyers-Ulam stability of two functional equations for QL-Implication is being examined in this study.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Computer Science Applications,Information Systems

Reference13 articles.

1. B. M.Baczynski, Fuzzy implication, Berlin: springer, 2008.

2. B. Schweizer and A. Sklar, Probabilistic Metric Spaces, vol. 2, M. N. Dover Publications, Ed., Amsterdam: North Holland, 1983, p. 275.

3. B.Jayaram, On the law of imprtation in fuzzy logic, IEEE Trans., 2008.

4. D. E. Y.Shi, On the chacterization of fuzzy implications satisfying I(x,y)=I(x,I(x,y)), Inf.Sci, 2007.

5. D.H.Hyers, on the stability of the linear functional equation, USA, 1941.

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