Abstract:
OBJECTIVE: A single valued neutrosophic set represented the uncertainty of real life situations in terms of membership [Formula: see text], indeterminacy [Formula: see text] and non-membership [Formula: see text] degree. However, this uncertainty cannot be limited to those three degrees; there is also an additional refusal degree. For this issue, the Turiyam set is an appropriate tool, which described the neutrosophic refusal degree of this situation as a liberal [Formula: see text] degree in addition to those three degrees. The graphical representation of this situation is required for knowledge processing. For this purpose, the Turiyam graph was introduced as an extension of the single valued neutrosophic graph. This graph is helpful when the depictions of the vertices or their relationships or both, are considered in terms of membership [Formula: see text], indeterminacy [Formula: see text], non-membership [Formula: see text] and liberal [Formula: see text] degrees. The goal of this paper is to introduce the degree, order and size in the context of Turiyam graphs and examine a social network (SN) with the help of this graph.
RESULTS: In this regard, the degree, order and size in the context of Turiyam graphs are studied. The feasibility of this Turiyam graph is shown by employing its concept in a social network (SN). Finally, the advantage of the Turiyam graph over the existing graph theories is recognized by viewing its better framework.
摘要:
目的:单值中性集合表示成员资格方面的现实生活情况的不确定性[公式:见正文],不确定性[公式:见正文]和非成员资格[公式:见正文]度。然而,这种不确定性不能仅限于这三个程度;还有一个额外的拒绝程度。对于这个问题,Turiyam是一个合适的工具,其中将这种情况的中性拒绝度描述为除了这三个度之外的自由[公式:见正文]度。这种情况的图形表示是知识处理所必需的。为此,引入Turiyam图作为单值中性粒细胞图的扩展。当顶点或它们的关系或两者的描述时,此图是有帮助的,按成员资格考虑[公式:见正文],不确定性[公式:见正文],非成员资格[公式:见正文]和自由资格[公式:见正文]。本文的目标是介绍学位,在Turiyam图的上下文中的顺序和大小,并在此图的帮助下检查社交网络(SN)。
结果:在这方面,程度,研究了Turiyam图背景下的顺序和大小。通过在社交网络(SN)中采用其概念,可以证明此Turiyam图的可行性。最后,通过查看其更好的框架,可以认识到Turiyam图相对于现有图论的优势。