Fully implicational methods for interval-valued fuzzy reasoning with multi-antecedent rules

Based on the fully implicational idea, we investigate the interval-valued fuzzy reasoning with multiantecedent rules. First, we construct a class of interval-valued fuzzy implications by means of a type of implications and a parameter on the unit interval, then use them to establish three kinds of f...
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Autor*in:	Hua-Wen Liu [verfasserIn] Cheng Li [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2011

Schlagwörter:	Approximate reasoning; interval-valued fuzzy sets; interval-valued fuzzy implications; fully implicational methods; Modus-Ponens property; fuzzy implications.

Übergeordnetes Werk:	In: International Journal of Computational Intelligence Systems - Springer, 2017, 4(2011), 5
Übergeordnetes Werk:	volume:4 ; year:2011 ; number:5

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.2991/ijcis.2011.4.5.18

Katalog-ID:	DOAJ032802943

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callnumber-first	Q - Science
author	Hua-Wen Liu
spellingShingle	Hua-Wen Liu misc QA75.5-76.95 misc Approximate reasoning; interval-valued fuzzy sets; interval-valued fuzzy implications; fully implicational methods; Modus-Ponens property; fuzzy implications. misc Electronic computers. Computer science Fully implicational methods for interval-valued fuzzy reasoning with multi-antecedent rules
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topic_title	QA75.5-76.95 Fully implicational methods for interval-valued fuzzy reasoning with multi-antecedent rules Approximate reasoning; interval-valued fuzzy sets; interval-valued fuzzy implications; fully implicational methods; Modus-Ponens property; fuzzy implications
topic	misc QA75.5-76.95 misc Approximate reasoning; interval-valued fuzzy sets; interval-valued fuzzy implications; fully implicational methods; Modus-Ponens property; fuzzy implications. misc Electronic computers. Computer science
topic_unstemmed	misc QA75.5-76.95 misc Approximate reasoning; interval-valued fuzzy sets; interval-valued fuzzy implications; fully implicational methods; Modus-Ponens property; fuzzy implications. misc Electronic computers. Computer science
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title	Fully implicational methods for interval-valued fuzzy reasoning with multi-antecedent rules
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title_full	Fully implicational methods for interval-valued fuzzy reasoning with multi-antecedent rules
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title_sort	fully implicational methods for interval-valued fuzzy reasoning with multi-antecedent rules
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title_auth	Fully implicational methods for interval-valued fuzzy reasoning with multi-antecedent rules
abstract	Based on the fully implicational idea, we investigate the interval-valued fuzzy reasoning with multiantecedent rules. First, we construct a class of interval-valued fuzzy implications by means of a type of implications and a parameter on the unit interval, then use them to establish three kinds of fully implicational reasoning methods for the interval-valued fuzzy reasoning with multi-antecedent rules which are called triple I method, hierarchical triple I method and URC triple I method respectively. At the same time, we analyze the Modus-Ponens (MP for short) and continuity properties of these methods and investigate the equivalence between the first method and the latter two methods. We also restrict our discussion to Zadeh fuzzy set theory and obtain a series of corresponding results.
abstractGer	Based on the fully implicational idea, we investigate the interval-valued fuzzy reasoning with multiantecedent rules. First, we construct a class of interval-valued fuzzy implications by means of a type of implications and a parameter on the unit interval, then use them to establish three kinds of fully implicational reasoning methods for the interval-valued fuzzy reasoning with multi-antecedent rules which are called triple I method, hierarchical triple I method and URC triple I method respectively. At the same time, we analyze the Modus-Ponens (MP for short) and continuity properties of these methods and investigate the equivalence between the first method and the latter two methods. We also restrict our discussion to Zadeh fuzzy set theory and obtain a series of corresponding results.
abstract_unstemmed	Based on the fully implicational idea, we investigate the interval-valued fuzzy reasoning with multiantecedent rules. First, we construct a class of interval-valued fuzzy implications by means of a type of implications and a parameter on the unit interval, then use them to establish three kinds of fully implicational reasoning methods for the interval-valued fuzzy reasoning with multi-antecedent rules which are called triple I method, hierarchical triple I method and URC triple I method respectively. At the same time, we analyze the Modus-Ponens (MP for short) and continuity properties of these methods and investigate the equivalence between the first method and the latter two methods. We also restrict our discussion to Zadeh fuzzy set theory and obtain a series of corresponding results.
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title_short	Fully implicational methods for interval-valued fuzzy reasoning with multi-antecedent rules
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