In this paper we are proposing a novel fuzzy method that can handle imperfect knowledge in a broader way than Intuitionistic (in the sense of Atanassov) fuzzy logic does (IFL). This fuzzy method can manage non- contradictory, doubtful, and contradictory information provided by experts, providing a mediated solution, so we called it Mediative Fuzzy Logic (MFL). We are comparing results of MFL, with IFL and traditional Fuzzy logic (FL).
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Armstrong SJ (2001) Principles of forecasting. A handbook for researchers and practitioners. In: Armstrong SJ (ed), University of Pennsylvania, Wharton School, Philadelphia
Atanassov K (1999) Intuitionistic fuzzy sets: theory and applications. Springer, Heidelberg
Bal DA, McCulloch JR. WH (1993) International business. Introduction and essentials, 5th edn. Richard D. Irwin Publishers, USA, pp 138–140, 225
Castillo O, Melin P (2003) A new method for fuzzy inference in intuitionistic fuzzy systems. In: Proceedings of the international conference NAFIPS 2003, July 2003. IEEE Press, Chicago, pp 20–25
Castillo O, Aguilar L, Cazarez N, Rico D (2005) Intelligent control of dynamical systems with type-2 fuzzy logic and stability study. In: Proceedings of ICAI-2005, Las Vegas, pp 400–405
Horwitz RI (1987) Complexity and contradiction in clinical trial research. Am J Med 82:498–510
Klir GJ, Yuan B (1995) Fuzzy sets and fuzzy logic: theory and applications. Prentice Hall, USA
Man KF, Tang KS, Kwong S (1999) Genetic algorithms. Springer, London
Mendel JM (2000) Uncertain rule-based fuzzy logic systems, Introduction and new directions. Prentice Hall, USA
Montiel O, Castillo O, Melin P, Rodríguez Días A, Sepúlveda R (2005a) Reducing the cycling problem in evolutionary algorithms. In: Proceedings of ICAI-2005, June 2005, Las Vegas, pp 426–432
Montiel O, Castillo O, Melin P, Rodríguez A, Sepúlveda R (2005b) Human evolutionary model. J Intell Syst 14:213–236
Mendel JM, Bob John RI (2002) Type-2 fuzzy sets made simple. IEEE Trans Fuzzy Syst 10(2):117–127
Nikilova M, Nikolov N, Cornelis C, Deschrijver G (2002) Survey of the research on intuitionistic fuzzy sets. Adv Stud Contemp Math 4(2):127–157
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353
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Montiel, O., Castillo, O., Melin, P. et al. Mediative fuzzy logic: a new approach for contradictory knowledge management. Soft Comput 12, 251–256 (2008). https://doi.org/10.1007/s00500-007-0206-7