Unified forms of Triple I method
β Scribed by G.-J. Wang; Li Fu
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 622 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
First, the present paper provides unified forms of Triple I method for fuzzy modus ponens and fuzzy modus tollens of which diverse implication operators can be employed. Second, it is clarified that, in a sense, Zadeh's CRI method for fuzzy modus ponens can be brought into line with the unified form of the Triple I method. Lastly, a unified form of a-Triple I method is established as well, and a duality result concerning a-Triple I solutions of fuzzy modus ponens and fuzzy modus tollens is obtained.
π SIMILAR VOLUMES
The theory of the triple I method with total inference rules of fuzzy reasoning is investigated by using Zadeh's implication operator R,. The computational formulae for both fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT) are obtained. The reversibility properties for FMP and FMT are analyzed
This paper focuses on the continuity problem of fully implicational triple I methods for fuzzy reasoning. Based on the residual implications generated by continuous triangular norms, the residual implication generated by nilpotent minimum with the standard negation and the Zadeh implication, respect
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