一种改进的直觉模糊熵公理化定义和构造公式-控制与决策.pdfVIP

第29 卷 第3 期 控 制 与 决 策 2014 年 3 月 Vol. 29 No. 3 Control and Decision Mar. 2014 文章编号: 1001-0920 (2014) 03-0470-05 DOI: 10.13195/j.kzyjc.2012.1549 一种改进的直觉模糊熵公理化定义和构造公式 1,2 1 1 高明美 , 孙 涛 , 朱建军 (1. 南京航空航天大学经济与管理学院，南京211106 ；2. 青岛大学数学科学学院，山东青岛266071) 摘 要: 针对现有的直觉模糊熵的公理化定义和构造公式未能全面体现直觉模糊集模糊性的缺陷进行分析, 提出一 种改进的直觉模糊熵的公理化定义, 据此构造一个新的直觉模糊熵的计算公式, 并将该公式与现有直觉模糊熵公式 进行比较. 算例分析表明, 所提出的熵公式能够更充分地反映直觉模糊集的不确定性和未知性程度. 关键词: 直觉模糊集；直觉模糊熵；隶属度；非隶属度；未知度 中图分类号: TP391 文献标志码: A Revised axiomatic definition and structural formula of intuitionistic fuzzy entropy 1,2 1 1 GAO Ming-mei , SUN Tao , ZHU Jian-jun (1 ．College of Economics and Management，Nanjing University of Aeronautics and Astronautics ，Nanjing 211106, China ；2 ．College of Mathematics，Qingdao University，Qingdao 266071，China ．Correspondent ：GAO Ming-mei, E-mail ：qdgaomingmei@126.com) Abstract: In view of the axiomatic definitions and the structure formulas of intuitionistic fuzzy sets, the defects of current researches which failed to fully reflect the fuzziness of intuitionistic fuzzy sets are introduced detailed respectively. An revised axiomatic definition of intuitionistic entropy is presented and a corresponding formula is structured. Then the intuitionistic fuzzy entropy formulas proposed by former references are discussed and compared with the proposed formula. Example analysis indicates that the proposed entropy measure can fully demonstrate the fuzziness and intuitionism of intuitionistic fuzzy sets.