Journal article Open Access

Neutrosophic modifications of Simplified TOPSIS for Imperfect Information (nS-TOPSIS)

Azeddine Elhassouny; Florentin Smarandache

Technique for order performance by similarity to ideal solution (TOPSIS) is a Multi-Criteria Decision-
Making method (MCDM), that consists on handling real complex problems of decision-making. However, real
MCDM problems are often involves imperfect information such as uncertainty and inconsistency. The imperfect
information is often manipulated through Neutrosophics theory, using certain degree of truth (T), falsity degree (F)
and indeterminacy degree(I). and thus single-valued neutrosophic set (SVNs) had prodded a strong capacity to model
such complex information. To overcome that kind of problems, In this paper, first, the authors simplify the popular
TOPSIS method to a lite TOPSIS (S-TOPSIS), that gives the same result as standard version. Second, mapping STOPSIS
to Neutrosophics Environment, investigating SVNS, called nS-TOPSIS, to deal with imperfect information
in the real decision-making problems. Numerical examples show the contributions of proposed S-TOPSIS method to
get the same results with standard TOPSIS with simple way of calculus, and how Neutrosophic environment manage
the uncertain information using SVN.

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