Intuitionistic fuzzy hypergraphs with applications

被引：158

作者：

Akram, Muhammad ^{[1
]}

Dudek, Wieslaw A. ^{[2
]}

机构：

[1] Univ Punjab, Coll Informat Technol, Lahore 54000, Pakistan

[2] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

来源：

INFORMATION SCIENCES | 2013年 / 218卷

关键词：

Intuitionistic fuzzy hypergraph; Strength of edge (class); Intuitionistic fuzzy partition; Dual intuitionistic fuzzy hypergraph; Clustering problem; GRAPHS; SETS; PARTITION;

D O I：

10.1016/j.ins.2012.06.024

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Hypergraphs are considered a useful tool for modeling system architectures and data structures and to represent a partition, covering and clustering in the area of circuit design. In this paper, we apply the concept of intuitionistic fuzzy set theory to generalize results concerning hypergraphs. For each intuitionistic fuzzy structure defined, we use cut-level sets to define an associated sequence of crisp structures. We determine what properties of the Sequence of crisp structures characterize a given property of the intuitionistic fuzzy structure. We also present applications of intuitionistic fuzzy hypergraphs. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：182 / 193

页数：12

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