References
- Y.E.Bao and C.X.Wu, Convexity and semicontinuity of fuzzy mappings, Comput. Math. Appl. 51 (2006), 1809-1816. https://doi.org/10.1016/j.camwa.2006.01.009
- P.Diamond and P.Kloeden, Metric Spaces of Fuzzy Sets: Theory and Applications, World Scientific, Singapore (1994).
- N.Furukawa, Convexity and local Lipschitz continuity of fuzzy-valued mappings, Fuzzy Sets and Systems 93 (1998), 113-119. https://doi.org/10.1016/S0165-0114(96)00192-3
- R.Goesschel and W.Voxman, Topological properties of fuzzy numbers, Fuzzy Sets and Systems, 10 (1983), 87-99. https://doi.org/10.1016/S0165-0114(83)80107-9
- R.Goetschel and W.Voxman, Elementary fuzzy calculus, Fuzzy Sets and Systems 18 (1986), 31-43. https://doi.org/10.1016/0165-0114(86)90026-6
- S.Gottwald, Characterization of the solvability of fuzzy operators, Eldktronische Informat. Kybernetik, 22 (1986), 67-91.
- S.Heilpern, Fuzzy mappings and fixed point theorem, J.Math. Anal. Applns., 83 (1981), 566-569. https://doi.org/10.1016/0022-247X(81)90141-4
- P.E.Kloeden, Compact supported sendographs and fuzzy sets, Fuzzy Sets and Systems, 4 (1980), 193-201. https://doi.org/10.1016/0165-0114(80)90036-6
- M.Mizumoto and K.Tanaka, The four operations of arithmetic on fuzzy numbers, Systems, Computers Controls, 7 (1976), 73-81.
- S.Nanda and K.Kar, Convex fuzzy mappings, Fuzzy Sets and Systems 48 (1992), 129-132. https://doi.org/10.1016/0165-0114(92)90256-4
- H.T.Nguyen, A note on the extension principle for fuzzy sets, J.Math. Anal. Applns., 64 (1978), 369-380. https://doi.org/10.1016/0022-247X(78)90045-8
- M.L.Puri and D.A.Ralescu, The concept of normality for fuzzy random variables, Ann.Probab., 13 (1985), 1373-1379. https://doi.org/10.1214/aop/1176992822
- M.L.Puri and D.A.Ralescu, Fuzzy random variables, J.Math. Anal. Applns., 114 (1986), 409-422. https://doi.org/10.1016/0022-247X(86)90093-4
- Y.R.Syau, On convex and concave fuzzy mappings, Fuzzy Sets and Systems 103 (1999), 163-168 https://doi.org/10.1016/S0165-0114(97)00210-8
- Y.R.Syau, Some properties of convex fuzzy mappings, J. Fuzzy Math. 7 (1999), 151-160.
- Y.R.Syau and E.S.Lee, A note on convexity and semicontinuity of fuzzy mappings, Applied Mathematics Letters 21 (2008) 814-819 https://doi.org/10.1016/j.aml.2007.09.003
- G.X.Wang and C.X.Wu, Derivatives and subdifferential of convex fuzzy mappings and application to convex fuzzy programming, Fuzzy Sets and Systems 138 (2003), 559-591. https://doi.org/10.1016/S0165-0114(02)00440-2
- Z.Wu and J.Xu, Nonconvex fuzzy mappings and the fuzzy pre-variational inequality, Fuzzy Sets and Systems 159 (2008) 2090- 2103. https://doi.org/10.1016/j.fss.2007.11.013
- H.Yan and J.Xu, A class of convex fuzzy mappings, Fuzzy Sets and Systems 129 (2002) 47-56. https://doi.org/10.1016/S0165-0114(01)00157-9
- X.M.Yang, Convexity of semicontinuous functions, Oper. Res. Soc. India 31 (1994), 309-317.
- X.M.Yang, A note on convexity of upper semi-continuous functions, Oper. Res. Soc. India 38 (2001), 235-237
- L.A.Zadeh, Fuzzy sets, Informat. Control, 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X