E. H. Mamdani and S. Assilian, An experiment in linguistic synthesis with a fuzzy logic controller, International journal on man-machine studies, vol.7, pp.1-13, 1975.

D. Dubois and H. Prade, What are fuzzy rules and how to use them, Fuzzy Sets and Systems, vol.84, issue.2, pp.169-185, 1996.

J. F. Baldwin and N. C. Guild, Modelling controllers using fuzzy relations, Kybernetes, vol.9, pp.223-229, 1980.

A. D. Nola, W. Pedrycz, and S. Sessa, An aspect of discrepancy in the implementation of modus ponens in the presence of fuzzy quantities, Int. J. Approx. Reasoning, vol.3, issue.3, pp.259-265, 1989.

J. , Fuzzy logic systems for engineering: a tutorial, Proc. IEEE, vol.83, pp.345-377, 1995.

H. Jones, S. Guillaume, B. Charnomordic, and D. Dubois, Practical use of fuzzy implicative gradual rules in knowledge representation and comparison with mamdani rules, 2005.

D. Dubois and H. Prade, Gradual inference rules in approximate reasoning, Information Sciences, vol.61, pp.103-122, 1992.

S. Galichet, D. Dubois, and H. Prade, Imprecise specification of ill-known functions using gradual rules, Int. J. Approx. Reasoning, vol.35, issue.3, pp.205-222, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00428677

L. Ughetto, D. Dubois, and H. Prade, Implicative and conjunctive fuzzy rules -A tool for reasoning from knowledge and examples, AAAI-99, pp.214-219, 1999.

N. Karnik, J. Mendel, and Q. Liang, Type-2 fuzzy logic systems, IEEE Transactions on Fuzzy Systems, vol.7, issue.6, pp.643-658, 1999.

D. Dubois, H. Prade, and L. Ughetto, A new perspective on reasoning with fuzzy rules, International Journal of Intelligent Systems, vol.18, issue.5, pp.541-567, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00442734

L. A. Zadeh, A theory of approximate reasoning, Machine Intelligence, vol.9, pp.149-194, 1979.

D. Dubois, H. Prade, and M. Grabisch, Gradual rules and the approximation of control laws, Theoretical aspects of fuzzy control, pp.147-181, 1995.

R. Martin-clouaire, Semantics and computation of the generalized modus ponens: The long paper, International journal of Approximate Reasoning, vol.3, pp.195-217, 1987.

E. Trillas and L. Valverde, On some functionally expressible implications for fuzzy set theory, Proc. Third Internat. Seminar on Fuzzy Set Theory, pp.173-190, 1981.

D. Dubois, H. Prade, and L. Ughetto, Fuzzy logic, control engineering and artificial intelligence, Fuzzy Algorithms for control, pp.17-57, 1999.

B. Schott and T. Whalen, Nonmonotonicity and discretization error in fuzzy rule-based control using coa and mom defuzzification, Fifth IEEE International Conference on Fuzzy Systems, pp.450-456, 1996.

E. Van-broekhoven, Monotonicity aspects of linguistic fuzzy models, 2007.

D. Dubois, H. Prade, and L. Ughetto, Checking the coherence and redundancy of fuzzy knowledge bases, IEEE Transactions on Fuzzy Systems, vol.5, pp.398-417, 1997.

D. Dubois, R. Martin-clouaire, and H. Prade, Practical computing in fuzzy logic. Fuzzy Computing, pp.11-34, 1988.

L. Ughetto, D. Dubois, and H. Prade, Efficient inference procedures with fuzzy inputs, FUZZY-IEEE'97, pp.567-572, 1997.

M. Sugeno and T. Takagi, Multi-dimensional fuzzy reasoning, Fuzzy Sets and Systems, vol.9, pp.313-325, 1983.

D. Dubois and H. Prade, Basic issues on fuzzy rules and their application to fuzzy control, Fuzzy Logic and Fuzzy Control-Lecture Notes in Artificial Intelligence, vol.833, pp.3-14, 1994.

L. Koczy and K. Hirota, Interpolative reasoning with insufficient evidence in sparse fuzzy rule bases, Information Sciences, vol.71, pp.169-201, 1993.

S. Jenei, E. Klement, and R. Konzel, Interpolation and extrapolation of fuzzy quantities revisited -an axiomatic approach, Soft Computing, vol.5, issue.3, pp.179-193, 2001.

, Interpolation and extrapolation of fuzzy quantities -the multiple-dimensional case, Soft Comput, vol.6, issue.3-4, pp.258-270, 2002.

L. Ughetto, Inferential independence of fuzzy rules, ECAI, pp.605-609, 1998.

N. N. Morsi and A. A. Fahmy, On generalized modus ponens with multiple rules and a residuated implication, Fuzzy Sets Syst, vol.129, issue.2, pp.267-274, 2002.

N. N. Morsi, A small set of axioms for residuated logic, Inf. Sci, vol.175, issue.1-2, pp.85-96, 2005.

D. Dubois and H. Prade, Possibility Theory: An Approach to Computerized Processing of Uncertainty, 1988.

, Rough fuzzy sets and fuzzy rough sets, International Journal of General Systems, vol.17, pp.191-209, 1990.

S. Guillaume, B. Charnomordic, and J. Lablée, FisPro: An open source portable software for fuzzy inference systems, 2002.

J. Gebhardt and R. Kruse, Background to and perspectives on possibilistic graphical models, Applications of Uncertainty Formalisms, ser. Lecture Notes in Computer Science, vol.1455, pp.397-414, 1998.