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Volume 28 Issue 10
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Lei Ying-jie, Wang Bao-shu, Wang Jing-jing. Intuitionistic Fuzzy Conditional Reasoning with the Confidence Spreading[J]. Journal of Electronics & Information Technology, 2006, 28(10): 1790-1793.
Citation: Lei Ying-jie, Wang Bao-shu, Wang Jing-jing. Intuitionistic Fuzzy Conditional Reasoning with the Confidence Spreading[J]. Journal of Electronics & Information Technology, 2006, 28(10): 1790-1793.

Intuitionistic Fuzzy Conditional Reasoning with the Confidence Spreading

  • Received Date: 2005-01-24
  • Rev Recd Date: 2005-07-25
  • Publish Date: 2006-10-19
  • To the predicate calculus on Intuitionistic Fuzzy Logic (IFL), a symmetric synthetic method for finding the truth of IFL propositions using membership and hesitancy degree is proposed on the basis of the hypothesis of an equilibrium state of supportability and opposability of neutral evidences indicated in the intuitionistic index. The fundamental operation rules on IFL propositions are presented. The investigation is with an emphasis on the techniques for conditional reasoning on IFL, including the implications, the conditions, the multiplications, and the multi-dimensions on IFL, etc. The related sets of mathematical formulas of inference compositional operations are derived. To the IFL reasoning with confidence factors, including those of the typical, the weighted, and the narrow senses, the effects of confidence factors spreading abroad in rules on those of conclusions are analyzed. The related formulas for finding the true conclusions are exposed.
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  • Zadeh L A. Fuzzy sets [J].Information and Control.1965, 8 (3):338-353[2]Atanassov K. Intuitionistic fuzzy sets [J].Fuzzy Sets and Systems.1986, 20 (1):87-96[3]Atanassov K. More on intuitionistic fuzzy sets [J].Fuzzy Sets and Systems.1989, 33 (1):37-46[4]Atanassov K. New operations defined over the intuitionistic fuzzy sets [J].Fuzzy Sets and Systems.1994, 61 (2):137-142[5]Atanassov Krassimir T, Kacprzyk Janusz, Szmidt Eulalia, et al.. On separability of intuitionistic fuzzy sets [J]. Lecture Notes in Artificial Intelligence, 2003, 2715: 285-292.[6]Kevin Lano. Formal frameworks for approximate reasoning [J].Fuzzy Sets and Systems.1992, 51(2):131-146[7]李晓萍, 王贵君. 直觉模糊群与它的同态像. 模糊系统与数学, 2000, 14 (1): 45-50.[8]雷英杰, 王宝树. 直觉模糊逻辑的语义算子研究 [J]. 计算机科学, 2004, 31 (11): 4-6.[9]雷英杰, 王宝树. 直觉模糊关系及其合成运算 [J]. 系统工程理论与实践, 2005, 25(2): 113-118.[10]雷英杰, 王宝树. 直觉模糊集时态逻辑算子与扩展运算性质. 计算机科学,2005, 32(2): 180-181, 225.[11]雷英杰, 王涛, 赵晔. 直觉模糊匹配的语义距离与贴近度[J]. 空军工程大学学报(自然科学版), 2005, 6 (1): 69-72.[12]Mitchell H B. Pattern recognition using type-II fuzzy sets[J].Information Sciences.2005, 170(2-4):409-418[13]雷英杰, 赵晔, 王涛. 直觉模糊匹配的相似性度量[J]. 空军工程大学学报(自然科学版), 2005, 6 (2): 83-86.[14]Bustince H. Application to approximate reasoning based on interval-valued fuzzy sets [J].International Journal of Approximate Reasoning.2000, 23 (2):137-209[15]雷英杰, 李续武, 王坚. 直觉模糊推理的语义匹配度[J]. 空军工程大学学报(自然科学版), 2005, 6 (3): 42-46.
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