THE α-INTERVAL VALUED FUZZY SETS DEFINED ON α-INTERVAL VALUED SET

被引：0
|
作者：
Cuvalcioglu, Gokhan [1 ]
Bal, Arif [2 ]
Citil, Mehmet [3 ]
机构：
[1] Mersin Univ, Fac Sci, Dept Math, Mersin, Turkey
[2] Mersin Univ, Dept Motor Vehicles & Transportat Technol, Vocat Sch Tech Sci, Mersin, Turkey
[3] Kahramanmaras Sutcu Imam Univ, Fac Sci, Dept Math, Kahramanmaras, Turkey
来源：
THERMAL SCIENCE | 2022年 / 26卷
关键词：
fuzzy sets; interval valued fuzzy sets; alpha-interval valued set; alpha-interval valued fuzzy sets;
D O I：
10.2298/TSCI22S2665C
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this study, alpha-interval valued set is defined whose elements are closed sub-intervals including alpha of unit interval that is I = [0, 1]. With different order relation on this set, the properties of alpha-interval valued set are examined. By the help of this order relation, it is shown that alpha-interval valued set is complete lattice. Negation function on alpha-interval valued set is given in order to study the theoretical properties of this set. By means of discussions on alpha-interval valued set, the fundamental features of alpha-interval valued set are studied. By the help of alpha-interval valued set, alpha-interval valued fuzzy sets are defined. The fundamental algebraic properties of these sets are examined. The level subsets of alpha-interval valued fuzzy sets are defined to give the relations between alpha-interval valued sets and crisp sets. With the help of this definition, some propositions and examples are given.
引用
收藏
页码：S665 / S679
页数：15
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