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NEW GENERALIZED $h$ -IMPLICATIONS

Part of: Algebraic logic General logic

Published online by Cambridge University Press:  24 May 2017

D. PEI Open the ORCID record for D. PEI [Opens in a new window]  and
Y. ZHU
D. PEI*
Affiliation:
Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China email peidw@163.com, kimi725@sina.com
Y. ZHU
Affiliation:
Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China email peidw@163.com, kimi725@sina.com
*
✉ peidw@163.com
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Abstract

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A new generalized class of fuzzy implications, called ( $h,f,g$ )-implications, is introduced and discussed in this paper. The results show that the new fuzzy implications possess some good properties, such as the left neutrality property and the exchange principle.

Keywords

fuzzy implicationh-implicationf-generated implicationg-generated implication

MSC classification

Primary: 03B50: Many-valued logic
Secondary: 03B52: Fuzzy logic; logic of vagueness 03G10: Lattices and related structures

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 276 - 286
Copyright
© 2017 Australian Mathematical Society 

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