MADM Model Based on Trigonometric Aggregation Operators of Linguistic Neutrosophic Values and  Its Application in Selecting the Crawling Robot Design Schemes

Yongbiao Luo; Hui Pan

Authors

Yongbiao Luo School of Information and Mechatronic Engineering, Shaoxing University Yuanpei College, Shaoxing. Shaoxing China;
Hui Pan School of Information and Mechatronic Engineering, Shaoxing University Yuanpei College, Shaoxing. Shaoxing China;

Keywords:

Linguistic neutrosophic value; Linguistic trigonometric operation; Linguistic neutrosophic value trigonometric aggregation operator; Decision making; Crawling robot design scheme

Abstract

Linguistic neutrosophic multi-attribute decision making (MADM) has become one of
critical research topics in decision theory. However, existing aggregation operations of linguistic
neutrosophic values (LNVs) do not contain operational periodicity. As a result, they are difficult to
handle MADM problems with the polytemporal/periodic needs in LNV scenarios. To fill this
research gap, this paper intends to develop a MADM model based on the trigonometric aggregation
operators (TAOs) of LNVs for MADM applications with polytemporal/periodic needs in LNV
scenarios. To do it, we first introduce the linguistic trigonometric t-norms and t-conorms and the
LNV trigonometric operation laws based on the trigonometry 1 (including tangent, cotangent,
inverse cotangent, and arctangent functions) and the trigonometry 2 (including sine, cosine,
arccosine, and arcsine functions). Second, we propose the LNV trigonometric weighted average
(LNVTWAT1 and LNVTWAT2) operators and LNV trigonometric weighted geometric (LNVTWGT1
and LNVTWGT2) operators based on the trigonometry 1 and 2. Third, a MADM model is developed
in terms of one of the proposed four TAOs to address MADM problems with polytemporal
phases/periodicity in a LNV scenario. Lastly, the developed MADM model is used for a MADM
application of crawling robot design schemes to verify its validity and rationality.

DOI: 10.5281/zenodo.17096066