Email this article Interval Valued D-Implications
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[1] J. Balasubramaniam, Yager’s new class of implications Jf and some classical tautologies, Information Sciences, 177, No. 3 (2007), 930–946
B.C. Bedregal, On interval fuzzy negations, Fuzzy Sets and Systems (2010) (to appear)
B.C. Bedregal, G.P. Dimuro, R.H.S. Reiser, An Approach to Interval-Valued R-Implications and Automorphisms, in: “2009 IFSA World Congress/2009 EUSFLAT Conference´´, pp. 1–6, Lisboa: Instituto Superior Técnico, 2009.
B.C. Bedregal, G.P. Dimuro, R.H.N. Santiago, R.H.S. Reiser, On interval fuzzy S-implications, Information Sciences (2009) (to appear).
B.C. Bedregal, R.H.N. Santiago, G.P. Dimuro, R.H.S. Reiser, Interval valued R-implications and automorphisms, in“Pre-Proc. of the 2nd Workshop on Logical and Semantic Frameworks, with Applications”, pp. 82–97, Ouro Preto, 2007.
B.C. Bedregal, R.H.N. Santiago, R.H.S. Reiser, G.P. Dimuro, Properties of fuzzy implications obtained via the interval constructor, TEMA Tend. Mat. Apl. Comput. 8, No. 1 (2007), 33–42.
B.C. Bedregal, R.H.N. Santiago, R.H.S Reiser, G.P. Dimuro, The best interval representation of fuzzy S-implications and automorphisms, in “Proc. of the Intl. Conf. on Fuzzy Systems, 2007”, pp. 3220–3230, IEEE, Los Alamitos, 2007.
B. Bedregal, A. Takahashi, The best interval representation of t-norms and automorphisms, Fuzzy Sets and Systems, 157, No. 24 (2006), 3220–3230.
B. Bedregal, A. Takahashi, Interval-valued versions of t-conorms, fuzzy negations and fuzzy implications, in “Proc. of the Intl. Conf. on Fuzzy Systems, Vancouver, 2006”, pp. 9553–9559, IEEE, Los Alamitos, 2006.
B.C. Bedregal, A. Takahashi, Interval representations of n-dual t-conorm, in “Proc. of Logic and Applied to Tecnology” (paper n. 214), Santos, 2007.
H. Bustince, P. Burillo, F. Soria, Automorphism, negations and implication operators, Fuzzy Sets and Systems, 134 (2003), 209–229.
R. Callejas-Bedregal, B.C. Bedregal, Intervals as a domain constructor, TEMA Tend. Mat. Apl. Comput., 2, No. 1 (2001), 43–52.
C. Carlsson, R. Fuller, “Fuzzy Reasoning in Decision Making and Optimization”, Physica-Verlag Springer, Heidelberg, 2002.
G. Chen, T.T. Pham, “Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems”, CRC Press, Boca Raton, 2001.
D. Dubois, H. Prade, Interval-valued fuzzy sets, possibility theory and imprecise probability, in “Proc. of the Intl. Conf. on Fuzzy Logic and Technology”, pp. 314–319, Barcelona, 2005.
J.C. Fodor, On fuzzy implication operators, Fuzzy Sets and Systems, 42 (1991), 293–300.
B.V. Gasse, C. Cornelis, G. Deschrijver, E. Kerre, On the properties of a generalized class of t-norms in interval-valued fuzzy logics, New Math. and Natural Computation, 2 (2006), 29–42.
M. Gehrke, C. Walker, E. Walker, Some comments on interval valued fuzzy sets, Intl. Journal of Intelligent Systems, 11 (1996), 751–759.
M. Gehrke, C. Walker, E. Walker, Algebraic aspects of fuzzy sets and fuzzy logics, in “Proc. of the Work. on Current Trends and Dev. in Fuzzy Logic”, pp. 101–170, Thessaloniki, 1999.
T. Hickey, Q. Ju, M. Emdem, Interval arithmetic: from principles to implementation, Journal of the ACM, 48, No. 5 (2001), 1038–1068.
E. Klement, R. Mesiar, E. Pap, “Triangular Norms”, Kluwer, Dordrecht, 2000.
E. Klement, M. Navara, A survey on different triangular norm-based fuzzy logics, Fuzzy Sets and Systems, 101 (1999), 241–251.
M. Mas, M. Monserrat, J. Torrens, QL-implications versus D-implications, Kybernetika, 42, No. 3 (2006), 351–366.
M. Mas, M. Monserrat, J. Torrens, Two types of implications derived from uninorms, Fuzzy Sets and Systems, 158, No. 3 (2007), 2612–2626.
S. Mitra, S.K. Pal, Fuzzy sets in pattern recognition and machine intelligence, Fuzzy Sets and Systems, 156 (2005), 381–386.
R. Moore, “Methods and Applications of Interval Analysis”, SIAM, Philadelphia, 1979.
R. Moore, W. Lodwick, Interval analysis and fuzzy set theory, Fuzzy Sets and Systems, 135, No. 1 (2003), 5–9.
M. Navara, Characterization of measures based on strict triangular norms, Math. Analysis and Applications, 236 (1999), 370–383.
H. Nguyen, V. Kreinovich, Q. Zuo, Interval-valued degrees of belief: applications of interval computations to expert systems and intelligent control, Int. J. Uncertain. Fuzziness Knowledge-Based Systems 5, No. 3 (1997), 317–358.
H. Nguyen, E. Walker, “A First Course in Fuzzy Logic”, Chapman & Hall/CRC, Boca Raton, 1999.
R.H.S. Reiser, G.P. Dimuro, B.C. Bedregal, R.H.N. Santiago, Interval valued QL-implications, in “Logic, Language, Information” (D. Leivant, R. Queiroz, eds.), LNCS, Vol. 4576, pp. 307–321, Springer, Berlim, 2007.
R.H.S. Reiser, G.P. Dimuro, B.R.C. Bedregal, H. Santos, R.C. Bedregal, Simplications on bounded lattices and the interval constructor, TEMA Tend. Mat. Apl. Comput. 9, No. 1 (2008), 143–154.
D. Ruan, E. Kerre, Fuzzy implication operators and generalized fuzzy methods of cases, Fuzzy Sets and Systems, 54 (1993), 23–37.
R.H.N. Santiago, B.C. Bedregal, B. Acióly, Formal aspects of correctness and optimality in interval computations, Formal Aspects of Computing, 18, No. 2 (2006), 231–243.
W. Siler, J.J. Buckley, “Fuzzy Expert Systems and Fuzzy Reasoning”, John Wiley, N.Y., 2004.
R. Yager, On some new classes of implication operators and their role in approximate reasoning, Information Sciences, 167 (2004), 193–216.
L.A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338–353.
L.A. Zadeh, The concept of a linguistic variable and its application
DOI: https://doi.org/10.5540/tema.2009.010.01.0063
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