Abstract
Dominator and total dominator colorings in vague graphs
Highlights
Fuzzy set generalize classical sets by use of a membership function such that each element is assigned a number in the real unit interval [0,1], which measures its grade of membership in the set
In 1993, Gau et al [3] presented the concept of vague set theory as a generalization of fuzzy set theory, which allow a separation of evidence for membership and evidence against membership
We introduce the concept of the dominator coloring and total dominator coloring of a vague graph and establish mathematical modelling for these problems
Summary
Fuzzy set generalize classical sets by use of a membership function such that each element is assigned a number in the real unit interval [0,1], which measures its grade of membership in the set. In 1993, Gau et al [3] presented the concept of vague set theory as a generalization of fuzzy set theory, which allow a separation of evidence for membership (grade of membership) and evidence against membership (negation of membership). They used a subinterval of [0,1] to replace the value of an element in a set. In 2009, Ramakrishna [20] introduced the concept of vague graphs and studied some important properties. We introduce the concept of the dominator coloring and total dominator coloring of a vague graph and establish mathematical modelling for these problems
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
