The Multi-Interval-Valued Fuzzy Soft Set with Application in Decision Making

• 作者: Shawkat Alkhazaleh
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: SOFT SET FUZZY SOFT SET Multi-Fuzzy SOFT SET Multi-Interval-Valued FUZZY SOFT SET
• 年，卷（期）: 2015,（8）
• 页码范围: 1250-1262
• 页数: 13页
• 分类号: O1

摘要

In 1999, Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. By combining the multi-fuzzy set and soft set models, Y. Yang, X. Tan and C. Meng introduced the concept of multi-fuzzy soft sets and studied some of its operations, such as complement, “AND”, “OR”, Union and Intersection. They also gave an algorithm to analyze a decision problem using multi-fuzzy soft set. In this paper, we introduce the concept of multi-interval-valued fuzzy soft set (M-IVFSS). We also define its basic operations, namely complement, union, intersection, AND and OR. Finally, we give an application of this concept in decision-making problem.