Allen J.F. An interval-base representation of temporal knowledge. IJCAI-81. 1981:221–226.

Allen J.F. Planning using a temporal world model. IJCAI-83. 1983:741–747.

Allen J.F. Toward a general theory of action and time. Artificial Intelligence. 1984:123–154.

Benjio Y., Lamblin P., Popovici D., Larochelle. Greedy layer-wise training of deep networks. Advances in Neural Information Processing Systems, 19 (NIPS’06). MIT Press; 2007:153–160.

Bhaskar R., Simon H.A. Problem solving in semantically rich domains: an example from engineering thermodynamics. Cognitive Science. 1977;1:193–215.

Bobrow D.G., Winograd T. A knowledge representation language. Cognitive Science. 1977;1(1):3–46.

Bredeweg B., Struss P. Current topics in qualitative reasoning. AI Magazine. 2003;24(no.4) Winter, pp13..

Brooks R.A., Lozano-Perez T. A subdivision algorithm in configuration space for findpath with rotation, M.I.T. Artificial Intelligence Laboratory Report. 1982 AIM-684. Dec.

Brooks R.A. Solving the find-path problem by good representation of free space. IEEE Transactions on SMC. 1983;SMC-13(No.3):190–197.

Cech E. Topological Space. New York: Wiley; 1966.

Cheeseman P. Probabilistic Versus Fuzzy Reasoning, in Uncertainty in Artificial Intelligence. North Holland; 1986.

Chen W. The model of granular computing based on quotient space and rough set theories, doctoral dissertation (in Chinese). Anhui University; 2005.

Chien R.T., Zhang L., Zhang B. Planning collision-free paths for robotic arm among obstacles. IEEE Transactions On PAMI-6. 1984(no.1) January, 91–96 .

Cohen P.R. Heuristic Reasoning about Uncertainty: an Artificial Intelligence Approach. Marshfield, MA, USA: Pitman Publishing, Inc; 1985.

Davey B.A., Priestley H.A. Introduction to Lattice and Order. Cambridge: Cambridge University Press; 1992.

Dijkstra E.W. A note on two problems in connection with graphs. Numerische Mathematik. 1959;1:269–271.

Dill K.A., Bromberg S., Yue K., Fiebig K.M., Yee D.P., Thomas P.D., Chan H.S. Principle of protein folding—a perspective from simple exact models. Protein Science. 1995(4):561–602.

Doyle J. A truth maintenance system. AI. 1979;12:231–272.

Dubois D., Prade H. Possibility theory, probability theory and multiple-valued logics: a clarification. Annals of Mathematics and Artificial Intelligence. 2001;32:35–66.

Duda R.O. Development of the prospector consultation system for mineral exploration. 1978: Final Report, SRI International.

Eisenberg M. Topology. Holt, Rinehart and Winston, Inc; 1974.

Field R. et al. An investigation of dynamic weighting in heuristic search. Proceedings of 6th ECAI. 1984:277–278.

Floyd R. Algorithm 97: shortest path. Communications of the ACM. 1962;5:345.

Forbus K.D. Qualitative reasoning about physical process. Proc. of IJCAI-7. 1981:326–330.

Forbus K.D. Qualitative process theory. AI. 1984;24:85–168.

Galton A. A generalized topological view of motion in discrete space. Theoretical Computer Science. 1966;305:111–134.

Gnedenko B.V. A Course in Probability Theory, People’s Education Press (Chinese Version). 1956.

Hinton G.E., Osindero S., The Yee-Whye A fast learning algorithm for deep belief nets. Neural Communication. 2006;18:1527–1554.

Hand D., Mannila H., Smyth P. Principles of Data Mining. Cambridge, MA: MIT Press; 2001.

He Fugui. The application of quotient space theory to network path analysis, doctoral dissertation. Hefei, China: Anhui University; 2011.

Hobbs J.R. Granularity. Proc. of IJCAI. 1985: Los Angeles, USA, 432–435.

Hogg R.V. et al. Probability and Statistical Inference. Macmillan Publishing Co. Inc; 1977.

Hu Xiaolin, Qi Peng, Zhang Bo Hierarchical K-means algorithm for modeling visual area V2 neurons. Doha, Qatar: 19th International Conference on Neural Information Processing; 2012: Nov. 12–15.

Kak A.C., Slaney M. Principles of Computerized Tomographic Imaging, Society of Industrial and Applied Mathematics. 2001.

Kashyap R.L., Mittal M.C. Picture reconstruction for projections. IEEE Transactions Computing. 1975;24(no.9):915–923.

Kelly J.L. General Topology. Princeton: N. J., Van Nostrand Co; 1955.

Kolmogorov A.N. Foundations of the theory of probability. Oxford, England: Chelsea Publishing Co; 1950.

Kowalski R. Logic for Problem Solving. New York: North Holland; 1979.

Kuipers B. Using incomplete quantitative knowledge in qualitative reasoning. Proceedings of AAAI-88. 1988:324–329.

Lau K.F., Dill K.A. A lattice statistical mechanics model of the conformational and sequence space of proteins. Macromolecules. 1989;22:3986–3997.

Lau K.F., Dill K.A. Theory for protein mutability and biogenesis. Proceedings of the National Academy of Sciences USA. 1990;87 683–642.

Liang P., Song F. what does a probabilistic interpretation of fuzzy sets mean? IEEE Transactions on Fuzzy Systems. 1996;4(2):200–205.

Lin T.Y. Neighborhood systems and approximation in relational databases and knowledge bases. Proceedings of the 4th International Symposium on Methodologies of Intelligent Systems. 1988.

Lin T.Y. Topological and fuzzy rough sets. In: Slowinski R., ed. Decision Support by Experience—Application of the Rough Sets Theory. Kluwer Academic Publishers; 1992:287–304.

Lin T.Y. A set theory for soft computing. Proceeding of 1996 International Conference on Fuzzy Systems. New Orleans: Louisiana; 1996::1140–1146 Sept. 8-11.

Lin T.Y. Neighborhood systems–application to qualitative fuzzy and rough sets. In: Wang P.P., ed. Advances in Machine Intelligence and Soft-Computing. Durham, North Carolina, USA: Department of Electrical Engineering, Duke University; 1997:132–155.

Lin T.Y. Granular computing on binary relations I: data mining and neighborhood systems, manuscript. San Jose, California, USA: Department of Mathematics and Computer Science, San Jose State University; 1998.

Lin T.Y., Tsumoto S. Qualitative fuzzy sets revisited; granulation on the space of membership functions. The 19th International Meeting of North American Fuzzy Information Processing Society. 2000::331–337 July 1-15, Atlanta.

Lin T.Y. Granular fuzzy sets and probability theories. International Journal of Fuzzy Systems. 2001;3(2):373–381.

Lin T.Y. Qualitative fuzzy sets: a comparison of three approaches. Proceeding of Joint 9th IFSA World Congress and 20th NAFIPS International Conference. Vancouver: Canada; 2001::2359–2363 July 25–28.

Lozano-Perez T., Wesley M.A. An algorithm for planning collision-free paths among polyhedral obstacles. Communication Association Computing Math. 1979;ACM-22:560–570.

Lozano-Perez T. Spatial planning: A configuration space approach. IEEE Transactions Computing. 1983;C-32 Feb, 108–120.

Mallat S.G. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Transaction on PAMI. 1989;11(no.7) July, 674–693.

Martin T. Computational molecular biology lecture. Winter: University of Washington; 2000.

McCarthy J. Circumscription - a form of non-monotonic reasoning. AI. 1980;13:27–39.

McDermott D., Doyle J. Non-monotonic logic I. AI. 1980;13:41–72.

Mello L.S.H., Sanderson A.C. A correct and complete algorithm for the generation of mechanical assembly sequences. Proceedings of IEEE International Conference on Robotics and Automation. 1989:56–61.

Mello L.S.H., Sanderson A.C. Representation of assembly sequences. Proceedings of IJCAI-89. 1989:1035–1040.

Mitchell T. Machine Learning. McGraw Hill; 1997.

Mitsuishi T., Endou N., Shidama Y. The concept of fuzzy set and membership function and basic properties of fuzzy set operation. Journal of Formalized Mathematics. 2000;12 Released 2000, Published 2003.

Murthy S.S. Qualitative reasoning at multiple resolutions. Proceedings of AAAI-88. 1988:296–300.

Natanson I.P. Real Function Theory. Beijing (Chinese): Renmin Educational Publishing Press; 1955.

Nayak A., Sinchair A., Zwick U. Spatial codes and the hardness of string folding problem. Journal of Comparative Biology. 1999;6:13.

Newell A., Simon H.A. Human Problem Solving. Englewood Cliffs, NJ: Prentice-Hall; 1972.

Nilsson N.J. Principle of Artificial Intelligence. Tioga Publishing Co; 1980.

Nutter J.T. Uncertainty and probability. Proceedings 10th IJCAI-87. 1987:373–379.

Pawlak Z.I. Rough sets. International Journal of Parallel Programming. 1982;11(5):314–356.

Pawlak Z.I. Rough Sets Theoretical Aspects of Reasoning about Data. Dordrecht, Boston, London: Kluwer Academic Publishers; 1991.

Pawlak Z.I. Granularity of knowledge, indiscernibility and rough sets. Proceedings of IEEE World Congress on Computational Intelligence. 1998;1:106–110.

Pearl J. Heuristics, Intelligent Search Strategies for Computer Problem Solving. Addison-Wesley Publishing Company; 1984.

Pearl J. Some recent results in heuristic search theory. IEEE Transactions PAMI-6. 1984;1:1–12.

Pearl Judea Causality: Models, Reasoning, and Inference. Cambridge University Press; 2000.

Reif J.H. Complexity of the mover's problem and generalizations. 20th Annual IEEE Symposium on Foundations of Computer Science; 1979: San Juan, Puerto Rico. October, pp. 421–427.

Reif J.H., Sharir M. Motion planning in the presence of moving obstacles. Portland, OR: 26th Annual IEEE Symposium on Foundations of Computer Science; 1985: October, pp. 144–154.

Reiter R. A logic for default reasoning. Artificial Intelligence. 1980;13:81–132.

Rioul O., Vetterli M. Wavelets and signal processing. IEEE Signal Processing Magazine. 1991;8 Oct. 14–38.

Schwatz J.T., Shatic M. On the ‘piano movers’ problem I, the case of a two-dimensional rigid polygonal body moving admist polygonal barriers. Communications on Pure and Applied Mathematics. 1983;36:345–398.

Schwatz J.T., Shatic M. On the ‘piano movers’ problem II, general technique for computing topological properties of real algebraic manifolds. Advances in Applied Mathematics. 1983;4:298–351.

Serra J. Image Analysis and Mathematical Morphology. London Academic Pr; 1982.

Serre T., Oliva A., Poggio T. A feed-forward architecture accounts for rapid categorization. Proceedings of the National Academy of Sciences (PNAS). 2007;104(No. 15):6424–6429.

Shafer G. A Mathematical Theory of Evidence. Princeton University Press; 1976.

Shapiro Stuart C. Techniques of Artificial Intelligence. D. Van Nostrand Company; 1979.

Shortiffe E.H. Computer-based Medical Consultations: MICIN. American Elsevier Publishing Co. Inc; 1976.

Sims B.T. Fundamental of Topology. 1976: New York, London.

Smith M.B. Semi-metrics, closure space, and digital topology. Theoretical Computer Science. 1995;151:157–276.

Sweldens W. The lifting scheme: a construction of second generation wavelets. SIAM Journal on Mathematical Analysis. 1998;29(no.2) March, 511–546.

Toussaint G.T., ed. Computational Geometry. North-Holland: Elsevier Science Publishers B.V; 1985.

Unger R., Moult J. Genetic algorithms for protein folding simulations. J. Mol. Biol.. 1993;231:75–81.

Unser M., Blu T. wavelet theory demystified. IEEE Transactions on Signal Processing. 2003;51(no.2) Feb. 2003, 470–483.

Verkuilen J. Measuring fuzzy set membership functions: a dual scaling approach, prepared for presentation at annual meeting of the APSA. 2001: San Francisco, CA. August 30-September 2.

Williams B.C. A symbolic approach to qualitative algebraic reasoning. Proceedings of AAAI-88. 1988:264–269.

Wolter J.D. On the automatic generation of assembly plans. Proceedings of IEEE ICRA. 1989:62–68.

Xiong J.C. Point Set Topology (in Chinese). Higher Education Press; 1981.

Yao Jingtao, Vasilakos A.V., Pedryez W. Granular computing: perspectives and challenges, will appears. IEEE Trans. on Cybernetics. 2012.

Yao Y.Y., Chen X.C. Neighborhood based information systems. Proceedings of the 3rd Joint Conference on Information Sciences. Vol. 3. Rough Set & Computer Science Research; 1997: (pp.154–157). Triangle Park, North Carolina, USA. March 1–5.

Yao Y.Y., Zhong N. Potential applications of granular computing in knowledge discovery and data mining. Proceedings of World Multi-conference on Systemics, Cybernetics and Informatics. 1999:573–580.

You C.Y. The Foundation of Topology (Chinese). Peking University Press; 1997.

Zacks S. The Theory of Statistic Inference. New York: Wiley; 1971.

Zadeh L.A. Fuzzy sets. Information and Control. 1965;3(8):338–353.

Zadeh L.A. Fuzzy sets and information granularity. In: Gupta M., Ragade R., Yager R., eds. Advances in Fuzzy set Theory and Applications. Amsterdam: North-Holland; 1979:3–18.

Zadeh L.A. Towards a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets and Systems. 1997;19:111–127.

Zadeh L.A. Some reflections on soft computing, granular computing and their roles in the conception, design and utilization of information/intelligent systems. Soft Computing. 1998;2(1):23–25.

Zadeh L.A. From computing with number to computing with word - from manipulation of measurements to manipulation of perceptions. IEEE Transactions on Circuit and system. 1999;45(No.1):105–120.

Zhang B., Zhang L. The collision-free path planning of a manipulator under obstacles (in Chinese). Chinese Journal of Artificial Intelligence. 1982;3:56–68.

Zhang B., Zhang L. The collision detection of coordinate operation of two arms (in Chinese). The Journal of Anqing Normal College. 1982;1:6–12.

Zhang L., Zhang B. The successive SA search and its computational complexity. Proc. of 6-th ECAI. 1984:249–258.

Zhang B., Zhang L. A weighted technique in heuristic search. Proc. of 9-th IJCAI. 1985:1037–1039.

Zhang B., Zhang L. Statistical heuristic search. Journal of Computer Science and Technology. 1987;2(1) Jan. 1–11.

Zhang B., Zhang L. et al. An algorithm for findpath with rotation. Proc. of IEEE on SMC-88. 1988: Beijing, 795–798.

Zhang B., Zhang L. et al. A findpath algorithm for a manipulator by finite division of configuration space, Robotics and Manufacturing. In: Jamshidi M., ed. Recent Trends in Research, Education and Applications. New York: ASME Press; 1988:99–106.

Zhang B., Zhang L. Path planning based on topologic method. Paris: The Second France-Sino International Conference on Robotics; 1988: Dec.

Zhang B., Zhang L. The dimension reduction method for collision-free path planning (in Chinese). Robot. 1988(no. 6):32–38.

Zhang L., Zhang B. Motion planning of multi-joint arm (in Chinese). Pattern Recognition and Artificial Intelligence. 1988;2:22–29.

Zhang B., Zhang L. Statistical heuristic search. In: Yungui Ci, ed. Research on Frontier in Computing. Tsinghua University Press; 1989.

Zhang B., Zhang L. The comparison between the statistical heuristic search and A∗. Journal of Computer science and Technology. 1989;4(No. 2):126–132.

Zhang L., Zhang B. The quotient space model of qualitative reasoning I (in Chinese). Journal of Anqing Normal College. 1989;8(no. 1–2):1–8.

Zhang B., Zhang L. et al. Motion planning of multi-joint robotic arm with topological dimension reduction method. Proc. of 11th IJCAI. 1990:1024–1034.

Zhang L., Zhang B. The quotient space model of qualitative reasoning II (in Chinese). Journal of Anqing Normal College. 1990;9(no.1).

Zhang B., Zhang L. The automatic generation of mechanical assembly plans. Proc. of PRICAL. 1990:480–485.

Zhang L., Zhang B. The computational complexity of quotient space based problem solving model. The Journal Anqing Normal College. 1990;9(no.2):1–7.

Zhang B., Zhang L. Theory and Application of Problem Solving. North- Holland Elsevier Science Publishers B.V; 1992.

Zhang L., Zhang B. Statistical genetic algorithms (in Chinese). Journal of Software. 1997;8(no.5):335–344.

Zhang L., Zhang B. The application of statistical heuristic search method to function optimization (in Chinese). Chinese Journal of Computers. 1997;20(no.8):673–680.

Zhang L., Zhang B. The quotient space theory of problem solving. Proceedings of International Conference on Rough Sets, Fuzzy Set, Data Mining and Granular Computing (RSFDGrC’2003). 2003 October 19–22, Chongqing, China: 11–15.

Zhang L., Zhang B. Fuzzy quotient space theory (fuzzy granular computing). Chinese Journal of Software (in Chinese). 2003;14(4):770–776.

Zhang L., Zhang B. Quotient space theory and granular computing. Proc. of Chinese Conference on Rough Set and Soft Computing, CRSSC’2003. 2003: Chongqing, 1–3.

Zhang Ling, Zhang Bo Fuzzy reasoning model under quotient space structure (Invited Lecture). International Conference on Fuzzy Information Processing–Theories and Applications. 2003 March 1–4, Beijing China.

Zhang Ling, Zhang Bo The quotient space theory of problem solving. Fundamenta Informaticae. 2004;59(2,3) 2004:287–298.

Zhang Ling, Zhang Bo A quotient space approximation model of multi-resolution signal analysis. Journal of Computer Science & Technology. 2005 Jan. 20(l):90–94.

Zhang Ling, Zhang Bo Fuzzy reasoning model under quotient space structure. Information Sciences. 2005;173(4):353–364 June.

Zhang Ling, Zhang Bo The structural analysis of fuzzy sets. Journal of Approximate Reasoning. 2005;40:92–108.

Zhang Weixiong The weighted technique in heuristic search (in Chinese). The Chinese Journal of Computers. 1988;11(no. 8):500–504.

Zuo X.L. Discrete Mathematics (Chinese). Shanghai Science Press; 1988.