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 / SpecialIssue2期

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

页码：S665 / S679

页数：15

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