辽宁工业大学学报(自然科学版)
遼寧工業大學學報(自然科學版)
료녕공업대학학보(자연과학판)
Journal of Liaoning Institute of Technology (Natural Science Edition)
2015年
6期
408-412
,共5页
二型模糊集%区间值模糊集%直觉模糊集%犹豫模糊集
二型模糊集%區間值模糊集%直覺模糊集%猶豫模糊集
이형모호집%구간치모호집%직각모호집%유예모호집
type-2 fuzzy set%interval-value fuzzy set%intuitionistic fuzzy set%hesitant fuzzy set
模糊集已经被推广到了多种形式,这些推广的模糊集之间既有区别又有着密切的联系。本文对它们之间的关系进行研究,重点讨论二型模糊集与区间值模糊集、犹豫模糊集和直觉模糊集等集合之间的关系;又进一步讨论拓展的二型模糊集即二型直觉模糊集与区间直觉模糊集、对偶犹豫模糊集等集合之间的关系;此外对二型模糊集和犹豫模糊集等集合的基本运算及其之间关系进行研究,并通过实例进行验证。
模糊集已經被推廣到瞭多種形式,這些推廣的模糊集之間既有區彆又有著密切的聯繫。本文對它們之間的關繫進行研究,重點討論二型模糊集與區間值模糊集、猶豫模糊集和直覺模糊集等集閤之間的關繫;又進一步討論拓展的二型模糊集即二型直覺模糊集與區間直覺模糊集、對偶猶豫模糊集等集閤之間的關繫;此外對二型模糊集和猶豫模糊集等集閤的基本運算及其之間關繫進行研究,併通過實例進行驗證。
모호집이경피추엄도료다충형식,저사추엄적모호집지간기유구별우유착밀절적련계。본문대타문지간적관계진행연구,중점토론이형모호집여구간치모호집、유예모호집화직각모호집등집합지간적관계;우진일보토론탁전적이형모호집즉이형직각모호집여구간직각모호집、대우유예모호집등집합지간적관계;차외대이형모호집화유예모호집등집합적기본운산급기지간관계진행연구,병통과실례진행험증。
Fuzzy sets have been generalized to a variety of forms; there are both differences and close relation between the promotion of fuzzy sets. In this paper, the relationship between them is studied, it focuses on the relationship between type-2 fuzzy sets and interval-value fuzzy sets, hesitant fuzzy sets and intuitionistic fuzzy sets etc. The development of type-2 fuzzy sets is discussed, that is, the relationship between type-2 intuitionistic fuzzy sets, the interval-value intuitionistic fuzzy sets and dual hesitant fuzzy sets, etc. In addition, the basic operation of type-2 fuzzy sets and hesitant fuzzy sets, etc is studied, and is verified by an example.