State of Art of Plithogeny Multi Criteria Decision Making Methods

Abstract

Plithogenic sets coined by Smarandache in the year 2018 has unveiled new research opportunities in
the field of Multi criteria decision making (MCDM). The contributions and developments of new
decision making approaches based on plithogeny is gaining high momentum presently. The
theoretical conceptualization of different phenomenon with plithogenic sets are also applied in
designing optimal solutions to the decision making problems. This review paper presents the
applications of plithogenic MCDM from the year 2018 to till date in almost all the spheres of decision
making scenario. The literature works of the researchers presented in this paper will certainly portray
the compatibility and flexibility of plithogenic sets, operators and other decision making tools.
Though the time span considered for counting on the plithogeny based works is short, the applications
of plithogenic sets are growing many in number and also plithogeny based theories are amplifying in
a speedy manner. This has motivated the authors to investigate on the proliferation of plithogeny
applications in decision making. This review paper has focused on the dimensions of different fields
to which plithogeny is applied, new plithogeny based theories, extension of plithogeny, plithogenic
based operators and measures. In addition to it the data on the publications of plithogeny based
articles and interests of researchers are also presented as a part of this review work. The overall
impact of plithogeny in the arena of decision making science and on the researchers of the same field
is well sketched in this paper with the intention and hope of inspiring plithogenic researchers.