Interval-Valued Fuzzy Trees and Cycles

Title

Interval-Valued Fuzzy Trees and Cycles

Creator

Philip A.M.; Kalayathankal S.J.; Kureethara J.V.

Description

Interval-valued fuzzy tree (IVFT) and interval-valued fuzzy cycle (IVFC) are defined in this chapter. We characterize interval-valued fuzzy trees. We also prove that if G is an IVFG whose underlying crisp graph is not a tree then G is an IVFT if and only if G contains only ? strong arcs and weak arcs. It is shown that an IVFG G whose underlying crisp graph is a cycle is an IVFC if and only if G has at least two ? strong arcs. 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

Source

Lecture Notes in Networks and Systems, Vol-462, pp. 251-263.

Date

2022-01-01

Publisher

Springer Science and Business Media Deutschland GmbH

Coverage

Philip A.M., Assumption College, Changanacherry, India; Kalayathankal S.J., Jyothi Engineering College, Thrissur, India; Kureethara J.V., Christ University, Bangalore, India

Rights

Restricted Access

Relation

ISSN: 23673370; ISBN: 978-981192210-7

Format

Online

Language

English

Type

Conference paper

Identifier

https://doi.org/10.1007/978-981-19-2211-4_22

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85135024157&doi=10.1007%2f978-981-19-2211-4_22&partnerID=40&md5=e779c72e2dac69e5e6c1a543e107dcd9