It is mathematical structures used to model pairwise relations between objects.
Published in Chapter:
Two Centroid Point for SVTN-Numbers and SVTrN-Numbers: SVN-MADM Method
Irfan Deli (Muallim Rifat Faculty of Education, Kilis 7 Aralık University, Turkey) and Emel Kırmızı Öztürk (Kilis 7 Aralık University, Turkey)
Copyright: © 2020
|Pages: 29
DOI: 10.4018/978-1-7998-1313-2.ch010
Abstract
In this chapter, some basic definitions and operations on the concepts of fuzzy set, fuzzy number, intuitionistic fuzzy set, single-valued neutrosophic set, single-valued neutrosophic number (SVN-number) are presented. Secondly, two centroid point are called 1. and 2. centroid point for single-valued trapezoidal neutrosophic number (SVTN-number) and single-valued triangular neutrosophic number (SVTrN-number) are presented. Then, some desired properties of 1. and 2. centroid point of SVTN-numbers and SVTrN-numbers studied. Also, based on concept of 1. and 2. centroid point of SVTrN-numbers, a new single-valued neutrosophic multiple-attribute decision-making method is proposed. Moreover, a numerical example is introduced to illustrate the availability and practicability of the proposed method. Finally, since centroid points of normalized SNTN-numbers or SNTrN-numbers are fuzzy values, all definitions and properties of fuzzy graph theory can applied to SNTN-numbers or SNTrN-numbers. For example, definition of fuzzy graph theory based on centroid points of normalized SVTN-numbers and SVTrN-numbers is given.