MAGDM technique based on linguistic neutrosophic credibility value trigonometric aggregation operators and its application in landslide control scheme selection

Abstract

Linguistic neutrosophic values (LNVs) can independently employ the true, false, and uncertain linguistic variables to convey uncertainty and inconsistence in multi-attribute group decision making (MAGDM) applications. However, how to convey the credibility level and periodic operation of LNVs is a research gap in emerging linguistic studies. To solve this research gap, this article aims to develop the (sine and cosine) trigonometric aggregation operators of linguistic neutrosophic credibility values (LNCVs) and their MAGDM technique. First, this study proposes LNCV, the linguistic sine t-norm and cosine t-conorm, and the trigonometric operation laws (TOLs) of LNCVs. Second, the accuracy and score formulae are presented to compare LNCVs. Third, the LNCV trigonometric weighted average (LNCVTWA) and LNCV trigonometric weighted geometric (LNCVTWG) operators are developed based on the TOLs of LNCVs. Forth, a MAGDM technique is built in view of the LNCVTWA and LNCVTWG operators and the accuracy and score formulae of LNCVs. Fifth, the built MAGDM technique is employed in a MAGDM case of landslide control scheme choice in the scenario of LNCVs and then compared with existing LNV MAGDM technique to reflect the validity and reasonability of the built technique.

Keywords

Linguistic neutrosophic credibility value linguistic sine t-norm linguistic cosine t-conorm linguistic neutrosophic credibility value trigonometric aggregation operator group decision making

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