Interval Analysis and Calculus for Interval-Valued Functions of a Single Variable. Part I: Partial Orders, gH-Derivative, Monotonicity
暂无分享,去创建一个
Luciano Stefanini | Maria Letizia Guerra | Benedetta Amicizia | Luciano Stefanini | Benedetta Amicizia
[1] Tong Shaocheng,et al. Interval number and fuzzy number linear programmings , 1994 .
[2] Luciano Stefanini,et al. Some notes on generalized Hukuhara differentiability of interval-valued functions and interval differential equations , 2012 .
[3] Barnabás Bede,et al. Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations , 2005, Fuzzy Sets Syst..
[4] A. Mostafaee,et al. Inverse linear programming with interval coefficients , 2016, J. Comput. Appl. Math..
[5] D. Dubois,et al. Fundamentals of fuzzy sets , 2000 .
[6] S. Markov. On the Algebra of Intervals ∗ , 2016 .
[7] H. Zimmermann,et al. Duality in Fuzzy Linear Programming , 1980 .
[8] Luciano Stefanini,et al. A comparison index for interval ordering based on generalized Hukuhara difference , 2012, Soft Computing.
[9] H. Ishibuchi,et al. Multiobjective programming in optimization of the interval objective function , 1990 .
[10] H. Banks,et al. A Differential Calculus for Multifunctions , 1970 .
[11] Svetoslav Markov,et al. Calculus for interval functions of a real variable , 1979, Computing.
[12] Tapan Kumar Pal,et al. Fuzzy Preference Ordering of Interval Numbers in Decision Problems , 2009, Studies in Fuzziness and Soft Computing.
[13] M. Inuiguchi,et al. Goal programming problems with interval coefficients and target intervals , 1991 .
[14] G. Alefeld,et al. Interval analysis: theory and applications , 2000 .
[15] Yurilev Chalco-Cano,et al. Optimality conditions of type KKT for optimization problem with interval-valued objective function via generalized derivative , 2013, Fuzzy Optim. Decis. Mak..
[16] R. Goetschel,et al. Elementary fuzzy calculus , 1986 .
[17] Luciano Stefanini,et al. Karush-Kuhn-Tucker conditions for interval and fuzzy optimization in several variables under total and directional generalized differentiability , 2019, Fuzzy Sets Syst..
[18] Hsien-Chung Wu,et al. The optimality conditions for optimization problems with convex constraints and multiple fuzzy-valued objective functions , 2009, Fuzzy Optim. Decis. Mak..
[19] Hsien-Chung Wu,et al. The Karush-Kuhn-Tucker optimality conditions in an optimization problem with interval-valued objective function , 2007, Eur. J. Oper. Res..
[20] Barnabás Bede,et al. Generalized differentiability of fuzzy-valued functions , 2013, Fuzzy Sets Syst..
[21] J. Verdegay. A dual approach to solve the fuzzy linear programming problem , 1984 .
[22] Ramon E. Moore. Methods and applications of interval analysis , 1979, SIAM studies in applied mathematics.
[23] Yurilev Chalco-Cano,et al. A note on generalized convexity for fuzzy mappings through a linear ordering , 2013, Fuzzy Sets Syst..
[24] Richard Bellman,et al. Decision-making in fuzzy environment , 2012 .
[25] Luciano Stefanini,et al. A new approach to linear programming with interval costs , 2017, 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).
[26] G. Jahanshahloo. Data Envelopment Analysis with Imprecise Data , 2011 .
[28] Mehdi Allahdadi,et al. Improving the modified interval linear programming method by new techniques , 2016, Inf. Sci..
[29] Xiaojun Zeng,et al. An ensemble framework for assessing solutions of interval programming problems , 2018, Inf. Sci..
[30] Yurilev Chalco-Cano,et al. Optimality conditions for generalized differentiable interval-valued functions , 2015, Inf. Sci..
[31] Hsien-Chung Wu,et al. The Karush-Kuhn-Tucker optimality conditions in multiobjective programming problems with interval-valued objective functions , 2009, Eur. J. Oper. Res..
[32] Barnabás Bede,et al. A New gH-Difference for Multi-Dimensional Convex Sets and Convex Fuzzy Sets , 2019, Axioms.
[33] Yurilev Chalco-Cano,et al. Necessary and sufficient conditions for fuzzy optimality problems , 2016, Fuzzy Sets Syst..
[34] Luciano Stefanini,et al. A comparison index for interval ordering , 2011, 2011 IEEE Symposium on Foundations of Computational Intelligence (FOCI).
[35] Vladimir Rovenski. Modeling of Curves and Surfaces with MATLAB , 2010 .
[36] Weldon A. Lodwick,et al. Fuzzy Optimization , 2009, Encyclopedia of Complexity and Systems Science.
[37] Yurilev Chalco-Cano,et al. The Karush–Kuhn–Tucker optimality conditions for fuzzy optimization problems , 2015, Fuzzy Optimization and Decision Making.
[38] Ibraheem Alolyan,et al. Algorithm for interval linear programming involving interval constraints , 2013, 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS).
[39] Imre J. Rudas,et al. First order linear fuzzy differential equations under generalized differentiability , 2007, Inf. Sci..
[40] Luciano Stefanini,et al. A generalization of Hukuhara difference and division for interval and fuzzy arithmetic , 2010, Fuzzy Sets Syst..
[41] Uwe Fink,et al. Fuzzy Sets Decision Making And Expert Systems , 2016 .
[42] Luciano Stefanini. On the generalized LU-fuzzy derivative and fuzzy differential equations , 2007, 2007 IEEE International Fuzzy Systems Conference.
[43] José L. Verdegay,et al. Progress on Fuzzy Mathematical Programming: A personal perspective , 2015, Fuzzy Sets Syst..
[44] Yurilev Chalco-Cano,et al. Calculus for interval-valued functions using generalized Hukuhara derivative and applications , 2013, Fuzzy Sets Syst..
[45] M. Hukuhara. INTEGRATION DES APPLICAITONS MESURABLES DONT LA VALEUR EST UN COMPACT CONVEXE , 1967 .
[46] R. Baker Kearfott,et al. Introduction to Interval Analysis , 2009 .
[47] H. Carter. Fuzzy Sets and Systems — Theory and Applications , 1982 .
[48] Hideo Tanaka,et al. On Fuzzy-Mathematical Programming , 1973 .
[49] Luciano Stefanini,et al. A Generalization of Hukuhara Difference , 2008, SMPS.
[50] Y Chalco Cano,et al. GENERALIZED DERIVATIVE AND -DERIVATIVE FOR SET-VALUED FUNCTIONS , 2011 .
[51] Siegfried Gottwald,et al. Applications of fuzzy sets to systems analysis , 1977, IEEE Transactions on Systems, Man, and Cybernetics.
[52] Barnabás Bede,et al. Generalized fuzzy differentiability with LU-parametric representation , 2014, Fuzzy Sets Syst..
[53] M. Puri,et al. DIFFERENTIAL FOR FUZZY FUNCTION , 1983 .
[54] Barnabás Bede,et al. Mathematics of Fuzzy Sets and Fuzzy Logic , 2012, Studies in Fuzziness and Soft Computing.
[55] José L. Verdegay,et al. Fuzzy Sets in Decision Analysis, Operations Research and Statistics , 2001 .
[56] H. Zimmermann. Fuzzy programming and linear programming with several objective functions , 1978 .
[57] Milan Vlach,et al. Satisficing solutions and duality in interval and fuzzy linear programming , 2003, Fuzzy Sets Syst..
[58] Tapan Kumar Pal,et al. On comparing interval numbers , 2000, Eur. J. Oper. Res..
[59] Christian Bär. Elementary Differential Geometry , 2010 .
[60] Yurilev Chalco-Cano,et al. Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties , 2019, Fuzzy Sets Syst..
[62] Hsien-Chung Wu,et al. Duality Theory in Interval-Valued Linear Programming Problems , 2011, J. Optim. Theory Appl..
[63] Alfred Gray,et al. Modern differential geometry of curves and surfaces with Mathematica (2. ed.) , 1998 .