Modelling: fuzziness revisited

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Akkerman, A. 1992: Fuzzy targeting of population niches in urban planning and the fractal dimension of urban change. Urban Studies 29, 1093-114.

Altman, D. 1994: Fuzzy set-theoretic approaches for handling imprecision in spatial analysis. International Journal of Geographical Information Systems 8, 271-89.

Banaikashani, A.R. 1990: Dealing with uncertainty and fuzziness in development planning: a simulation of high-technology, industrial-location, decision-making by the analytic hierarchy process. Environment and Planning A 22, 1183-203.

Bellman, R. and Zadeh, L. 1970: Decision making in a fuzzy environment. Management Science 17, 4.

Bhattacharya, U. , Rao, J.R. and Tiwari, R.N. 1992: Fuzzy multicriteria facility location problem. Fuzzy Sets and Systems 51, 277-87.

Billot, A. 1992: Economic theory of fuzzy equilibria: an axiomatic analysis . Lecture Notes in Economics and Mathematical Systems 373. Berlin: Springer-Verlage

Bock, S. and Gans, P. 1993: The problem of fuzzy cause-specific death rates in mortality context analysis - the case of Panama City. Social Science and Medicine 36, 1367-71.

Cao, H. and Chen, G. 1983: Some applications of fuzzy sets to meteorological forecasting. Fuzzy Sets and Systems 9, 1-12

Choobineh, F. and Behrens, A. 1992: Use of intervals and possibility distributions in economic analysis. Journal of the Operational Research Society 43, 907-18.

10.

Chung, K.H. and Tcha, D.W. 1992: A fuzzy set-theoretic method for public facility location . European Joumal of Operational Research 58, 90-98.

11.

Dubois, D. and Prade, H. 1980: Fuzzy sets and systems: theory and applications. New York: Academic Press.

12.

Economist, The 1994: The logic that dares not speak its name. 16 April.

13.

Gale, S. 1972a: Inexactness, fuzzy sets and the foundations of behavioural geography. Geographical Analysis 4, 337-49.

14.

— 1972b: Remarks on the foundations of locational decision-making . Antipode 4, 41-79.

15.

Giering, E.W. and Kandel, A. 1983: The application of fuzzy set theory to the modelling of competition in ecological systems. Fuzzy Sets and Systems 9, 103-27.

16.

Gleik, J. 1987: Chaos: making a new science. London : Heinemann.

17.

Hamacher, H. , Leberling, H. and Zimmermann, H.-J. 1978: Sensitivity analysis in fuzzy linear programming. Fuzzy Sets and Systems 1, 269-81.

18.

Hannan, E.L. 1981: Linear programming with multiple fuzzy goals. Fuzzy Sets and Systems 6, 235-48.

19.

Harris, T.R. and Bezdek, J.C. 1987: An application of fuzzy clustering analysis for development of regional typology - a Nevada example. American Journal of Agricultural Economics 69, 1078?

20.

Harris, T.R. , Stoddard, S.W. and Bezdek, J.C. 1993: Application of fuzzy-set clustering for regional typologies . Growth and Change 24, 155-65.

21.

Hays, T.E. 1993: The New-Guinea Highlands- region, culture area or fuzzy set? Current Anthropology 34, 141-64.

22.

Husseinov, F. 1994: Interpretation of Aubin fuzzy coalitions and their extension - relaxation of finite exchange economics. Journal of Mathematical Economics 23, 499-516.

23.

Julien, B. 1994: Water quality management with imprecise information. European Journal of Operational Research 76, 15-27.

24.

Kaufmann, A. 1975: Introduction to the theory of fuzzy subsets. Vol. 1. New York: Academic Press.

25.

Kimble, G.H.T. 1951: The inadequacy of the regional concept. In Stamp, L.D. and Wooldridge, S.W. , editors, London essays in geography: Rodwell Jones memorial volume. London: Longmans, Green & Co.

26.

Klir, G.J., editor, 1990: International Journal of General Systems. Special issue on a quarter century of fuzzy systems 17.

27.

— Kosko, B. 1992: Neural networks and fuzzy systems: a dynamical systems approach to machine intelligence. Englewood Cliffs, NJ : Prentice Hall.

28.

— 1994: Fuzzy thinking: the new science of fuzzy logic. London: HarperCollins.

29.

Kruse, R. , Gebhardt, J. and Klawonn, F. 1994: Foundations of fuzzy systems. Chichester : Wiley.

30.

Kumar, S. and Goel, S. 1994: Fuzzy sets in urban design. International Journal of Systems Science 25, 1727-41.

31.

Laughlin, C.D. 1993: Fuzziness and phenomenology in ethnological research - insights from fuzzy set theory. Journal of Anthropological Research 49, 17-37.

32.

Leung, Y. 1982: Urban and regional planning with fuzzy information. In Chatterjee, L. and Nijkamp, P. , editors, Urban and regional policy analysis for developing countries. Aldershot: Gower, 231-49.

33.

— 1983: Fuzzy-sets approach to spatial analysis and planning: a non-technical evaluation. Geografiska Annaler Series B - Human Geography 65, 65-75.

34.

— 1985: Basic issues of fuzzy set theoretic spatial analysis. Papers of the Regional Science Association 58, 35-46.

35.

— 1987: On the imprecision of boundaries. Geographical Analysis 19, 125-51.

36.

— 1988: Spatial analysis and planning under imprecision. Studies in Regional Science and Urban Economics 17. Amsterdam: North-Holland.

37.

Lotan, T. and Koutsopouls, H.N. 1993: Models for route choice behaviour in the presence of information using concepts from fuzzy set theory and approximate reasoning. Transportation 20, 129-55.

38.

Luhandjula, M.K. 1983: Linear programming under randomness and fuzziness. Fuzzy Sets and Systems 10,45-55.

39.

Macmillan, W. 1978: An introduction to the theory of fuzzy sets in the context of the construction of representational spatial economic theory. In Martin, R.L. , Thrift, N.J. and Bennett, R.J. , editors, Towards the dynamic analysis of spatial systems. London : Pion, 37-52.

40.

McCain, R.A. 1987: Fuzzy confidence intervals in a theory of economic rationality . Fuzzy Sets and Systems 23, 205-18.

41.

Mendoza, G.A. , Bare, B.B. and Zhou, Z.H. 1993: A fuzzy multiple objective linear programming approach to forest planning under uncertainty. Agricultural Systems 41, 257-74.

42.

Munda, G. , Nijkamp, P. and Rietveld, P. 1994: Qualitative multicriteria evaluation for environmental management. Ecological Economics 10, 97-112.

43.

Negoita, C. and Sularia, M. 1976: On fuzzy mathematical programming and tolerances in planning . Economic Computation and Economic Cybernetics Studies and Research 1, 3-14.

44.

Pipkin, J.S. 1978: Fuzzy sets and spatial choice. Annals of the Association of American Geographers 68, 196-204.

45.

Ponsard, C. 1979: On the imprecision of consumer's spatial preferences. Papers of the Regional Science Association 42, 59-71.

46.

— 1981: An application of fuzzy subsets theory to the analysis of the consumer's spatial preferences. Fuzzy Sets and Systems 5, 235-44.

47.

— 1982a: Partial spatial equilibria with fuzzy constraints. Journal of Regional Science 22, 159-75.

48.

— 1982b: Producer's spatial equilibrium with a fuzzy constraint . European Journal of Operational Research 10,302-13.

49.

— 1986: Spatial fuzzy consumer's decision making: a multicriteria analysis. European Journal of Operational Research 25, 235-46.

50.

Ponsard, C. and Fustier, B. 1986: Fuzzy economics and spatial analysis. Dijon: Librairie de l'Université, Collection de L'I.M.E. , 32.

51.

Ponsard, C. and Tranqui, P. 1985: Fuzzy economic regions in Europe. Environment and Planning A 17, 873-87.

52.

Rolland-May, C. 1986a: Fuzzy geographical systems. In Ponsrad, C. and Fustier, B. , editors, Fuzzy economics and spatial analysis. Dijon: Librairie de l'Université, Collection de L'I.M.E. , 32, 71-90.

53.

— 1986b: An algorithm for fuzzy classification: application to fuzzy regionalisation. In Ponsrad, C. and Fustier, B. , editors, Fuzzy economics and spatial analysis. Dijon: Librairie de l'Université, Collection de L'I.M.E., 32, 129-53.

54.

Sakawa, M. 1983: Interactive computer programs for fuzzy linear programming with multiple objectives. International Journal of Man-Machine Systems 18, 489-503.

55.

Sengupta, J.K. 1992

Measuring efficiency by a fuzzy statistical approach. Fuzzy Sets and

Systems 46, 73-80.

56.

Slowinski, R. 1986: A multicriteria fuzzy linear programming method for water supply system development. Fuzzy Sets and Systems 19, 216-37.

57.

Smith, P.N. 1992: Fuzzy evaluation of land-use and transportation options . Environment and Planning B: Planning and Design 19, 525-44.

58.

— 1994: Applications of fuzzy sets in the environmental evaluation of projects. Journal of Environmental Management 42, 365-88.

59.

Tanaka, H. , Okuda, T. and Asai, K. 1974: On fuzzy mathematical programming. Journal of Cybernetics 3, 37-46.

60.

Tecle, A. , Duckstein, L. and Korhonen, P. 1994: Interactive, multiobjective programming for forest resources management. Applied Mathematics and Computation 63, 75-93.

61.

Teodorovic, D. 1994: Fuzzy set theory applications in traffic and transportation. European Journal of Operational Research 74, 379-90.

62.

Thill, J.C. and Sui, D.Z. 1993: Mental maps and fuzziness in space preferences. Professional Geographer 45,264-76.

63.

Turksen, I.B. and Willson, I.A. 1994: A fuzzy set preference model for consumer choice. Fuzzy Sets and Systems 68, 253-66.

64.

Xiang, W.N. , Gross, M. , Fabos, J.G. and MacDougall, E.B. 1992: A fuzzy-group, multicriteria decision-making model and its application to land-use planning. Environment and Planning B: Planning and Design 19, 61-84.

65.

Zadech, L.A. 1965: Fuzzy sets. Information and Control 8, 338-53.

66.

Zetenyi, T. 1988: Fuzzy sets in psychology. Amsterdam : North-Holland Advances in Psychology.

67.

Zimmermann, H.-J. 1976: Description and optimization of fuzzy systems. International Journal of General Systems 2, 209-15.

68.

— 1978: Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems 1, 45-55.

69.

Zimmermann, H.-J. , Zadeh, L.A. and Gaines, B.R. , editors, 1984: Fuzzy sets and decision analysis. Studies in the Management Sciences 20. Amsterdam: North-Holland .