Author/Authors :
Liu Peide نويسنده Professor at the School of Management Science and Engineering , Tang Guolin نويسنده master student at the School of Management Science and Engineering , Liu Weilong نويسنده Professor at the School of Management Science and Engineering
Abstract :
With respect to the interval neutrosophic Multi-Attribute Decision-Making
(MADM) problems, the MADM method is developed based on some interval neutrosophic
aggregation operators. Firstly, the Induced Generalized Interval Neutrosophic Hybrid
Arithmetic Averaging (IGINHAA) operator and the Induced Generalized Interval Neutrosophic
Hybrid Geometric Mean (IGINHGM) operator are proposed, which can weight all
the input arguments and their ordered positions. Further, regarding the situation where the
input elements are interdependent, the Induced Generalized Interval Neutrosophic Shapley
Hybrid Arithmetic Averaging (IGINSHAA) operator and the Induced Generalized Interval
Neutrosophic Shapley Hybrid Geometric Mean (IGINSHGM) operator are proposed, which
are extensions of IGINHAA and IGINHGM operators, respectively, and some properties
of these given operators are investigated. Furthermore, the interval neutrosophic cross
entropy, which is an extension of single-valued neutrosophic cross entropy, is de ned,
and the models based on the interval neutrosophic cross entropy and generalized Shapley
function are respectively constructed to determine the optimal fuzzy measures on the
attribute and ordered sets. Finally, an approach to interval neutrosophic MADM with
interactive conditions and incomplete known weight information is proposed based on these
given operators, and a practical example is shown to verify the practicality and feasibility
of the new approach.
