Analytical fuzzy plane geometry I

Bogomolny, 1987, On the perimeter and area of fuzzy sets, Fuzzy Sets Syst., 23, 257, 10.1016/0165-0114(87)90062-5 Bloch, 1999, On fuzzy distances and their use in image processing under imprecision, Pattern Recognition, 32, 1873, 10.1016/S0031-3203(99)00011-4 Buckley, 1997, Fuzzy plane geometry I: points and lines, Fuzzy Sets Syst., 86, 179, 10.1016/0165-0114(95)00342-8 Buckley, 1997, Fuzzy plane geometry II: circles and polygons, Fuzzy Sets Syst., 87, 79, 10.1016/S0165-0114(96)00295-3 Chaudhuri, 1991, Some shape definitions in fuzzy geometry of space, Pattern Recognition Lett., 12, 531, 10.1016/0167-8655(91)90113-Z T.D. Clark, J.M. Larson, J.N. Mordeson, J.D. Potter, M.J. Wierman, Fuzzy geometry, in: Applying Fuzzy Mathematics to Formal Models in Comparative Politics, Springer, Berlin, 2008, pp. 65–80. Dubois, 1979, Fuzzy real algebra: some results, Fuzzy Sets Syst., 2, 327, 10.1016/0165-0114(79)90005-8 Guha, 2010, A new approach to fuzzy distance measure and similarity measure between two generalized fuzzy numbers, Appl. Soft Comput., 10, 90, 10.1016/j.asoc.2009.06.009 J. Han, S. Guo, C. Feng, The fuzzy measure and application of a kind of circular fuzzy number, in: Proceedings of the International Conference on Computational Intelligence and Software Engineering (CiSE 2010), 2010, pp. 1–4. Hong, 1997, A note on operations on fuzzy numbers, Fuzzy Sets Syst., 87, 383, 10.1016/S0165-0114(96)00156-X Li, 2007, Fuzzy geometric object modelling, Fuzzy Inf. Eng., 40, 551, 10.1007/978-3-540-71441-5_60 Muganda, 1990, Fuzzy linear and affine space, Fuzzy Sets Syst., 38, 365, 10.1016/0165-0114(90)90209-O Pham, 2001, Representation of fuzzy shapes, 239 J.Q. Qiu, M. Zhang, Fuzzy space analytic geometry, in: Proceedings of the International Conference on Machine Learning and Cybernetics, 2006, pp. 1751–1755. Rosenfeld, 1984, The diameter of a fuzzy set, Fuzzy Sets Syst., 13, 241, 10.1016/0165-0114(84)90059-9 Rosenfeld, 1998, Fuzzy geometry: an updated overview, Inf. Sci., 110, 127, 10.1016/S0020-0255(98)10038-5 Rosenfeld, 1985, The perimeter of a fuzzy set, Pattern Recognition, 18, 125, 10.1016/0031-3203(85)90035-4 Safi, 2007, A geometric approach for solving fuzzy linear programming problems, Fuzzy Optim. Decision Making, 6, 315, 10.1007/s10700-007-9016-8 Wang, 2011, Location discovery based on fuzzy geometry in passive sensor networks, Int. J. Digital Multimedia Broadcast., 2011, 851951, 10.1155/2011/851951 Yuan, 2001, Notes on “Fuzzy plane geometry I, II”, Fuzzy Sets Syst., 121, 545, 10.1016/S0165-0114(00)00099-3