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OPTIMIZATION OF DELIVERY TYPE SELECTION IN
TRANSPORTATION PROBLEM USING NFSAW METHOD
Prepared by: Nur Atifah Binti Md Sebari (K242/51)
Supervisor: Pn Maziah Binti Mahmud
Abstract Objectives
The objectives of this study are:
Transportation cost is a critical factors in delivery and 1. To convert the linguistic variables into
logistics services, influenced by various dynamic criteria neutrosophic fuzzy triangular numbers.
such as demand, distance, weather, and driver behavior. Problem statement 2. To apply Neutrosophic Fuzzy Simple Additive
Traditional evaluation methods struggle to deal with Weighting (NFSAW) method for evaluating and
uncertainty and vagueness in decision making Evaluating on total transportation cost is a crucial but difficult ranking delivery type alternatives based on
processes. The Neutrosophic Fuzzy Simple Additive task since it involves multiple conflicting criteria such as transportation cost criteria.
Weighting (NFSAW) approach will be used to evaluate distance, driver behaviour, weather, and demand in the 3. To select the most optimal delivery type based on
and rank different delivery types which are express, stan market. Trapezoidal evaluation methods frequently lack of prioritised transportation cost criteria using
dard and economy under uncertain conditions. The systematic strategy to prioritising these criteria, resulting in NFSAW.
method involves finding the truth, indeterminacy and subjective and inconsistent conclusions that may conflict with
falsity membership rating values for each criterion. It organizational goals. Also, the lack of a formal framework for
also involves determining the average fuzzy score and assessing relative relevance and interdependence of these
defuzzified score of each alternative on each criterion. criteria makes it very difficult to develop any effective
The data were gathered through a structured transport strategies. In addition, companies do not have a
questionnaire and were processed using Microsoft Excel capability of selecting the least expensive delivery mode since Results & discussion
to perform normalization, weighting, and final score there is no formal and objective ranking mechanism. Without
calculations. The main objectives of the study is to having an accurate method of ranking the available deliveries,
convert linguistic variables into fuzzy triangular decision-makers may not be in a position to optimize the
numbers, to apply NFSAW method and select the most transport cost effectively. This study seeks to solve these
optimal delivery type based on each criterion. The result issues with the help of NFSAW to examine and rank alternative
indicates that economy delivery is the most cost-saving delivery type based on transportation cost criteria. The
delivery, followed by standard delivery and express NFSAW method allows decision-makers to incorporate The NFSAW calculation results above revealed that
delivery. The result also indicates that NFSAW has a uncertainty and expert judgement in ranking delivery type Economy delivery had the highest overall score,
satisfactory performance in providing dependable and such as Express delivery, Standard delivery and Economy followed by Standard delivery and finally Express
sound structure for decision-makers to minimize delivery. With the integration of a structured decision-making delivery. This ranking makes sense because the
transportion costs and to manage uncertainty. approach, this study aims to provide a more reliable, flexible method considers multiple criteria such as demand,
and precise method in choosing the most optimal delivery distance, weather, and driver behavior. Economy
Method & type based on the criteria of transportation cost. delivery normally offers the most affordable form of
transport, which was one of the most weighted factors
Implementation in this study. Despite its longer delivery times, its cost-
under
non-
and
effectiveness
predictability
step 1: Data Collection step 8: find combined normalized emergency situations make it the optimal option in
Seven experts (E1–E7) provided evaluations on three step 4: find centroid weight neutrosophic decision matrix the given scenario. Although express delivery is the
delivery types as a alternative — Express (A1), value first option when urgency takes center stage, its
Standard (A2), and Economy (A3) — based on four higher operating cost, lower consolidation efficiency,
criteria: Demand, Distance, Driver Behaviour, and and time-sensitive nature make it less appealing in
Weather. terms of cost reduction. Standard delivery, although
The truth membership, indeterminacy membership more balanced, still lags behind the cost-reduction
and falsity membership is given by experts based on a step 9: calculate total score advantage provided by economy delivery. The ranking
survey. thus reflects a practical preference for cost reduction,
route optimization, and delivery predictability, which
are crucial in day-to-day logistics decisions where
step 5 & 6: assign applicable speed is not the top priority.In overall terms, Economy
neutrosophic rating values and find delivery represented the most suitable option since it
average fuzzy score and defuzzified best satisfies the decision factors under typical
score of each alternative on criteria operating conditions, delivering a low-cost, reliable
Below is the data by experts’ and solution under uncertain and variable delivery
detailed calculation for alternative A1, conditions.
Express delivery for demand criteria.
Conclusion
This study aimed to evaluate and rank transportation delivery type using the Neutrosophic Fuzzy
Simple Additive Weighting (NFSAW) method based on different criteria such as demand, distance,
weather, and driver behavior. By utilizing triangular neutrosophic fuzzy numbers, the NFSAW
method was able to handle uncertainty and imprecise judgments from expert evaluations. The
step 2: Transform to triangular fuzzy results showed that economy delivery ranked the highest in terms of cost-effectiveness, followed
number by standard and express delivery. These findings suggest that the NFSAW method can serve as a
reliable decision-support tool for logistics providers to decide on the most appropriate delivery
type to minimize transport cost. The results clearly demonstrate that the proposed method
effectively achieves the objective of optimal delivery type selection.
Recommendation
Based on the findings, it is recommended that logistics or courier companies consider
step 7: form normalized decision
step 3: find average fuzzy scores, defuzzified matrix adopting structured decision-making tools such as NFSAW to improve cost analysis and
values and normalized weight for each criteria strategic planning. Future studies can explore expanding the number of criteria or adding
real-time operational factors such as traffic conditions, fuel prices, and vehicle availability for
a more dynamic model. Besides, working with more experts or businesses could enhance the
generalizability and validity of the findings. Comparing with other MCDM methods like AHP,
TOPSIS, or VIKOR under a neutrosophic environment can also provide further insights.
