Abstract
The goal of this work is to develop a novel decision-making method which can solve some complex decision problems that
include the following three-aspect information: (1) information represented in the form of interval-valued intuitionistic fuzzy
values (IVIFVs) not only intuitionistic fuzzy values (IFVs), (2) the probability information and the weighted information, and
(3) the importance degree of each concept in the process of decision-making. Firstly, by integrating OWA operator, probabilistic
weight (PW), and individual distance of two IVIFNs in the same formulation, we introduce two new distance operators named
PIVIFOWAD operator and IPIVIFOWAD operator, respectively. Secondly, satisfaction degree of an alternative is proposed based
on the positive ideal IVIFS and the negative ideal IVIFS and applied to MCDM. Finally, we use an illustrative example to show the
feasibility and validity of the new method by comparing with the other existing methods
include the following three-aspect information: (1) information represented in the form of interval-valued intuitionistic fuzzy
values (IVIFVs) not only intuitionistic fuzzy values (IFVs), (2) the probability information and the weighted information, and
(3) the importance degree of each concept in the process of decision-making. Firstly, by integrating OWA operator, probabilistic
weight (PW), and individual distance of two IVIFNs in the same formulation, we introduce two new distance operators named
PIVIFOWAD operator and IPIVIFOWAD operator, respectively. Secondly, satisfaction degree of an alternative is proposed based
on the positive ideal IVIFS and the negative ideal IVIFS and applied to MCDM. Finally, we use an illustrative example to show the
feasibility and validity of the new method by comparing with the other existing methods
Original language | English |
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Article number | 1359610 |
Pages (from-to) | 1 |
Number of pages | 11 |
Journal | Mathematical Problems in Engineering |
Volume | 2018 |
Publication status | Published (in print/issue) - 5 Jul 2018 |