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NEW ENTROPY MEASURE FOR SINGLE-VALUED K242/38
NEUTROSOPHIC TOPSIS IN PERCEPTION ANALYSIS
ON ORGANIZATIONAL DISTRIBUTIVE JUSTICE
Presenter: Siti Nur Diyana binti Deraman (2022449838)
Supervisor: Dr. Roliza binti Md Yasin
ABSTRACT
Perception of distributive justice often involves subjective opinion with uncertainty and ambiguity. Classical evaluation
approaches slightly unable to handle such a complex problem. This study introduces a technique of order preference
by similarity to ideal solution (TOPSIS) to help in decision-making with single-value neutrosophic set (SVNS). To
enhance a better decision-making, this study proposes a new entropy measure to handle uncertain, indeterminacy and
inconsistent information from the secondary data. The data is extracted from Bodur et al. (2024) used to evaluate the
perception of organizational distributive justice. The data is collected in neutrosophic Likert scale. The process starts
with forming a new entropy measure, applying TOPSIS with SVN data and the result is ranked for the most relevant
participant’s perception in organizational distributive justice. The findings show that the method used to handle
uncertain and indeterminacy data give reliable solution.
PROBLEM STATEMENT METHODOLOGY
A few participants gave unclear responses due to the lack of clarity 1
in the survey’s questions, limited awareness about organizational Propose the new entropy
measure
justice, and mixed feelings that made it difficult to decide. 2
This resulted in uncertainty within the data, affecting the Convert collected data
evaluation of students’ perceptions. 3 into SVN number
To address this, SVNS are applied to identify the degree of truth, Determine the decision
indeterminacy, and falsity in responses. matrix
A new entropy measure is introduced to determine the importance Normalize the decision 4
of criteria, and TOPSIS for SVNS is used to rank the alternatives. matrix
5
OBJECTIVES Determine weight of the
criteria using the new
entropy measure
1. To propose new entropy distance measure for SVNS. Compute the weighted 6
2. To apply the new entropy measure in the TOPSIS procedure for normalized decision matrix
perception analysis of organizational distributive justice problem. 7 Determine the ideal and
3. To compare the new entropy measure with Thao&Smarandache non-ideal solution
and Ye&Du entropy measure. 8
Calculate the distance
measure
RESULT & 9 Determine the closeness
coefficient
DISCUSSION alternatives 10
Rank the
11
Compare the ranking that
Top ten ranking summary of calculated using new
participants’ perception of entropy measure and
organizational distributive existing entropy measure
justice.
The results are based on IMPLEMENTATION
The Frist Ten Participants Ranking three different entropy
approaches for SVNS.
The consistency of the
ranking indicates that these
participants have a strong
and stable perspective on
organizational distributive
The Participants Ranking from 71 to 76 justice.
Meanwhile, the rankings
have a minor difference for
intermediate ranking.
The bottom ten ranking of
The Last Ten Participant Ranking participants are consistent
despite the application of
three different entropy
measure.
CONCLUSION & RECOMMENDATIONS Entropy Measure for Weight of Criteria
A new entropy measure is introduced specifically for SVNS. When applied Each Criterion
with the TOPSIS method, it helps handle inconsistent information and
improves decision-making accuracy. The new entropy is used to rank
participants’ perceptions of organizational distributive justice, from most
to least relevant. Entropy is important in managing incomplete data, as it
measures uncertainty and identifies relevant criteria. This study also uses
the Euclidean distance in the TOPSIS procedure to calculate each
alternative’s distance from the ideal and non-ideal solutions. From this, the
closeness coefficient is obtained, which is then used to rank the
participants.
In further study, it is suggested to extend this new entropy measure in
other MCDM techniques such as COPRAS, VIKOR and SAW. It is also
recommended to use this new entropy in other application area such as
medical treatment evaluation, choosing a construction area, and many Example Calculation of
more. Positive and Negative
Ideal Solution

