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Product of interval-valued fuzzy graphs and degree

Title
Product of interval-valued fuzzy graphs and degree
Author
Sarkar, Biswajit
Keywords
Cartesian product; composition; tensor product; lexicographic product
Issue Date
2018-10
Publisher
IOS PRESS
Citation
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v. 35, No. 6, Page. 6443-6451
Abstract
Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining, image segmentation, clustering, image capturing and networking. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that they have many applications in networks. In this paper, at first we define three new operations on interval-valued fuzzy graphs namely strong product, tensor product and lexicographic product. Likewise, we study about the degree of a vertex in interval-valued fuzzy graphs which are obtained from two given interval-valued fuzzy graphs using the operations Cartesian product, composition, tensor and strong product of two interval-valued fuzzy graphs. These operations are highly utilized by computer science, geometry, algebra, number theory and operation research. In addition to the existing operations these properties will also be helpful to study large interval-valued fuzzy graph as a combination of small, interval-valued fuzzy graphs and to derive its properties from those of the smaller ones.
URI
https://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs181488https://repository.hanyang.ac.kr/handle/20.500.11754/81448
ISSN
1064-1246
DOI
10.3233/JIFS-181488
Appears in Collections:
COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > INDUSTRIAL AND MANAGEMENT ENGINEERING(산업경영공학과) > Articles
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