Fuzzy modus ponens as a calculus of logical modifiers: Towards Zadeh's vision of implication calculus

1999 ◽  
Vol 116 (2-4) ◽  
pp. 219-227 ◽  
Author(s):  
Bernadette Bouchon-Meunier ◽  
Vladik Kreinovich
Keyword(s):  
Modus Ponens ◽  
Fuzzy Modus Ponens

Pythagorean fuzzy full implication multiple I method and corresponding applications

2021 ◽  
pp. 1-15
Author(s):  
TaiBen Nan ◽  
Haidong Zhang ◽  
Yanping He
Keyword(s):  
Decision Making ◽  
Modus Ponens ◽  
Pythagorean Fuzzy Set ◽  
Implication Operator ◽  
Continuity Properties ◽  
Fuzzy Implication ◽  
Decision Making Problem ◽  
Fuzzy Implication Operator ◽  
Degree Of Similarity ◽  
Fuzzy Modus Ponens

The overwhelming majority of existing decision-making methods combined with the Pythagorean fuzzy set (PFS) are based on aggregation operators, and their logical foundation is imperfect. Therefore, we attempt to establish two decision-making methods based on the Pythagorean fuzzy multiple I method. This paper is devoted to the discussion of the full implication multiple I method based on the PFS. We first propose the concepts of Pythagorean t-norm, Pythagorean t-conorm, residual Pythagorean fuzzy implication operator (RPFIO), Pythagorean fuzzy biresiduum, and the degree of similarity between PFSs based on the Pythagorean fuzzy biresiduum. In addition, the full implication multiple I method for Pythagorean fuzzy modus ponens (PFMP) is established, and the reversibility and continuity properties of the full implication multiple I method of PFMP are analyzed. Finally, a practical problem is discussed to demonstrate the effectiveness of the Pythagorean fuzzy full implication multiple I method in a decision-making problem. The advantages of the new method over existing methods are also explained. Overall, the proposed methods are based on logical reasoning, so they can more accurately and completely express decision information.

On Fuzzy Modus Ponens to Assess Fuzzy Association Rules

2015 ◽  
pp. 269-276 ◽  
Author(s):  
Miguel Delgado ◽  
M. Dolores Ruiz ◽  
Daniel Sánchez ◽  
M. Amparo Vila
Keyword(s):  
Association Rules ◽  
Modus Ponens ◽  
Fuzzy Association Rules ◽  
Fuzzy Modus Ponens

On global requirements for implication operators in fuzzy modus ponens

1999 ◽  
Vol 106 (1) ◽  
pp. 3-10 ◽  
Author(s):  
Ronald R. Yager
Keyword(s):  
Modus Ponens ◽  
Fuzzy Modus Ponens

scholarly journals A Bit More About Fuzzy Modus Ponens

2020 ◽  
Vol 32 (5) ◽  
pp. 866-868
Author(s):  
Yahachiro TSUKAMOTO
Keyword(s):  
Modus Ponens ◽  
Fuzzy Modus Ponens

scholarly journals Fuzzy Reasoning Method Based on Distance Measure and Its Reductive Property

2020 ◽  
Vol 8 ◽  
pp. 73-89
Author(s):  
Sonil Kwak ◽  
Unha Kim ◽  
Kumju Kim ◽  
Ilmyong Son ◽  
Chonghan Ri
Keyword(s):  
Fuzzy Control ◽  
Fuzzy Systems ◽  
Distance Measure ◽  
Fuzzy Reasoning ◽  
Modus Ponens ◽  
Information Loss ◽  
Modus Tollens ◽  
Criterion Function ◽  
Human Thinking ◽  
Fuzzy Modus Ponens

This paper shows a basic and original fuzzy reasoning method that can draw a novel study direction of the approximate inference in fuzzy systems with uncertainty. Firstly we propose a criterion function for checking of the reductive property about fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT). Secondly unlike fuzzy reasoning methods based on the similarity measure, we propose a principle of new fuzzy reasoning method based on distance measure and then present two theorems for FMP and FMT. Thirdly through the several computational experiments, we show that proposed method is simple and effective, and in accordance with human thinking. Finally we pointed out conclusion that proposed method does satisfy the convergence of the fuzzy control and has not information loss.

scholarly journals The R0-type fuzzy logic metric space and an algorithm for solving fuzzy modus ponens

2008 ◽  
Vol 55 (9) ◽  
pp. 1974-1987 ◽  
Author(s):  
Guo-Jun Wang ◽  
Xiao-Jing Hui ◽  
Jian-She Song
Keyword(s):  
Fuzzy Logic ◽  
Metric Space ◽  
Modus Ponens ◽  
Fuzzy Modus Ponens

Studying Fuzzy Modus Ponens

2006 ◽  
Author(s):  
Claudi Alsina ◽  
Sergio Guadarrama ◽  
Eloy Renedo ◽  
Enric Trillas
Keyword(s):  
Modus Ponens ◽  
Fuzzy Modus Ponens

Fuzzy Modus Ponens Deduction Technique for Construction Scheduling

1994 ◽  
Vol 120 (1) ◽  
pp. 162-179 ◽  
Author(s):  
Ricky Wai‐Kin Wu ◽  
Fabian C. Hadipriono
Keyword(s):  
Modus Ponens ◽  
Construction Scheduling ◽  
Fuzzy Modus Ponens
Sign in / Sign up

Export Citation Format

Share Document