Triple I method of fuzzy reasoning

Song, Shiji; Feng, Chun-Bo; Lee, E.S.

doi:10.1016/s0898-1221(02)00279-1

Cited by 52 publications

(36 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…How does the principle of minimal incompatibility work in the reversed triple I method [15]- [16] of fuzzy reasoning? These problems will be further studied elsewhere.…”

Section: Discussionmentioning

confidence: 99%

Research on the Principle of Minimal Incompatibility for Fuzzy Reasoning

Fu¹,

Hu²

2007

Proceedings on Intelligent Systems and Knowledge Engineering (ISKE2007)

View full text Add to dashboard Cite

Based on the concept of incompatible factor, this paper introduces further the principle of minimal incompatibility, and use this principle to improve the triple I method. In addition, by the principles of maximal support and minimal incompatibility the solutions of the problems of Fuzzy Modus Ponens and Fuzzy Modus Tollens are unified. The reason why the new method is more reasonable than the triple I method is analyzed, and the new method is generalized by considering two different types of implication operators.

show abstract

“…How does the principle of minimal incompatibility work in the reversed triple I method [15]- [16] of fuzzy reasoning? These problems will be further studied elsewhere.…”

Section: Discussionmentioning

confidence: 99%

Research on the Principle of Minimal Incompatibility for Fuzzy Reasoning

Fu¹,

Hu²

2007

Proceedings on Intelligent Systems and Knowledge Engineering (ISKE2007)

View full text Add to dashboard Cite

show abstract

“…Reference [13] introduced a CMI (compatibility modification inference), which is reduced by CRI. References [14][15][16][17][18][19][20][21] developed the Triple I method, based on CRI imperfections. Accordingly, [14] proposed the full implication Triple I method (a hybrid method based on implication and composition), designed as a supplement for the CRI method.…”

Section: Introductionmentioning

confidence: 99%

“…Accordingly, [14] proposed the full implication Triple I method (a hybrid method based on implication and composition), designed as a supplement for the CRI method. Reference [15] proposed the Triple I FMP and FMT for generalized -triple I method. An investigation into a formalized Triple I method is reported in [16] where the authors tried to set a sound logical foundation for the unified TI algorithms.…”

Section: Introductionmentioning

confidence: 99%

Reducing Computational Overhead by Improving the CRI and IRI Implication Step

Chen

2015

Journal of Control Science and Engineering

View full text Add to dashboard Cite

In conventional SISO fuzzy expert systems ( -element input, -element output), the implication step requires the ( × ) operations using compositional rule-based inference (CRI) and individual rule-based inference (IRI). However, this introduces excessive complexity. This paper proposes two methods, sort compositional rule-based inference (SCRI) and sort individual rulebased inference (SIRI) aiming at reducing both temporal and spatial complexity by changing the operation of the implication step to (( + )log 2 ( + )). We also propose a divide-and-conquer technique, called Quicksort, to verify the accuracy of SCRI and SIRI algorithms deployment to easily outperform the CRI and IRI methods.

show abstract

“…should take its maximum whenever u ∈ U and v ∈ V. Then the so-called triple I (the abbreviation of triple implications) method for solving the above problems was Hua-wen Liu ( ) School of Mathematics, Shandong University, Jinan, Shandong 250100, China email: hw.liu@sdu.edu.cn proposed in [2] (or, see [3][4][5][6][7][8][9][10]). Furthermore, by means of the theory of sustaining degrees introduced by Wang in [2], the triple I method was generalized to the α-triple I method (see [2][3][4][5][6][7][8][9][10]).…”

Section: Introductionmentioning

confidence: 99%

Reverse Triple I Reasoning Methods Based on the Łukasiewicz Implication

Liu

2011

Fuzzy Information and Engineering

View full text Add to dashboard Cite

The reverse and α-reverse triple I reasoning methods based on Łukasiewi -cz implication I L are established in new manners which correct the mistakes in the existing literature. Furthermore, the α-reverse triple I reasoning method is extended to a new form, called α(u, v)-reverse triple I reasoning method, which can contain the reverse triple I reasoning method as its particular case. This is another improved point to the existing results.

show abstract

Triple I method of fuzzy reasoning

Cited by 52 publications

References 9 publications

Research on the Principle of Minimal Incompatibility for Fuzzy Reasoning

Research on the Principle of Minimal Incompatibility for Fuzzy Reasoning

Reducing Computational Overhead by Improving the CRI and IRI Implication Step

Reverse Triple I Reasoning Methods Based on the Łukasiewicz Implication

Contact Info

Product

Resources

About