MCGDM Approach Using the Weighted Hyperbolic Sine Similarity Measure of Neutrosophic (Indeterminate Fuzzy) Multivalued Sets for the Teaching Quality Assessment of Teachers

Abstract

A neutrosophic (indeterminate fuzzy) multivalued set (NMS) can be effectively described by neutrosophic number sequences with identical or different neutrosophic numbers zi = i + viI  [0, 1] (i = 1, 2, …, q) for , v  R and I  [I  , I + ]. Therefore, NMS is a stronger and more valuable tool for describing indeterminate fuzzy multivalued information. In this article, we propose the weighted hyperbolic sine similarity measure of NMSs to deal with the multi-criteria group decisionmaking (MCGDM) issue of teaching quality assessment with different indeterminate ranges of decision makers. To do so, first according to the hyperbolic sine function, we propose a hyperbolic sine similarity measure of NMSs and a weighted hyperbolic sine similarity measure of NMSs and investigate their desirable properties. Second, we develop a MCGDM approach with some indeterminate ranges in terms of the proposed weighted hyperbolic sine similarity measure of NMSs. Lastly, an illustrative example on the teaching quality assessment of teachers is presented to illustrate the applicability of the developed approach, then the developed approach is compared with the existing related approach to reveal the effectiveness of the developed approach for the teaching quality assessment of teachers in the environment of NMSs.

Keywords

• neutrosophic multivalued set
• neutrosophic number
• hyperbolic sine similarity measure
• group decision making
• teaching quality assessment
• indeterminate fuzzy