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NEUTROSOPHIC APPROACH TO AIRCRAFT SELECTION USING DISTANCE-BASED K242/10

SIMILARITY MEASURE IN SINGLE-VALUED NEUTROSOPHIC SET ENVIRONMENTS

Name: SITI NUR SYAFIKAH BINTI RAMLI | Supervisor’s Name: MADAM FIRDAWATI MOHAMED

1ABSTRACT

This report presents a study on aircraft selection with four different alternatives by using Single-Valued Neutrosophic Sets (SVNS).

The purpose of this study is to select the most suitable aircraft by using Euclidean distance, normalized Euclidean distance, and the

New Distance-Based Similarity measure, with the other objective of formulating these three distance measures. Three phases are

developed including formulating the distance measure formula, applying the distance measure to the aircraft problem and ranking

and discussing. As the result, for the distance measure result, the lower value is better but for the similarity measure, the higher

value is better. In conclusion, the findings show the efficiency of the SVNS distance measure methods in solving the complex

decision-making problem. The study will be better if all three distance measures are compared with other distance measures to

see more differences between the ranking results for all the distance measures.

2PROBLEMxSTATEMENT 4METHODOLOGYx¾xIMPLEMENTATION

The widespread use of aircraft in the aviation sector results from

significant advancements in engineering and information technology. It

becomes quite challenging for aviation firms and organizations to select

the most appropriate aircraft for their need. To deal with this problem,

distance measures in SVNS are chosen to select the most suitable

alternatives of aircraft by measuring distance and ranking process

based on the aircraft criteria.

3OBJECTIVES

To formulate the properties of Euclidean distance measure,
To formulate the properties of Euclidean distance measure,

normalized Euclidean distance and new distance-based similarity
normalized Euclidean distance and new distance-based similarity

measure.
measure.

To apply the formula of Euclidean distance, normalized Euclidean
To apply the formula of Euclidean distance, normalized Euclidean

distance, and new distance-based similarity measure to aircraft
distance, and new distance-based similarity measure to aircraft

selection problem.
selection problem.

To compare and discuss the result of Euclidean distance, normalized
To compare and discuss the result of Euclidean distance, normalized

Euclidean distance and new distance-based similarity measure on
Euclidean distance and new distance-based similarity measure on

aircraft selection problem
aircraft selection problem

5RESULTxANDxDISCUSSION

Four properties to formulate the SVNS distance measure

1.Distance measure for Euclidean 2. Distance measure for normalized

distance Euclidean distance

Distance and Similarity measure formula

1.Euclidean distance
3. Distance measure for New 4. Similarity measure for Euclidean

Distance-Based Similarity distance distance

2.Normalized Euclidean distance

3.New Distance-Based Similarity

5. Similarity measure for normalized 6. Similarity measure for New

Euclidean distance Distance-Based Similarity distance 4.Similarity measure

7xRECOMMENDATIONS

The three distance measures are compared with

6xCONCLUSION other distance measures so that we can see more

The best alternative for aircraft is the Airbus A321neo (X2) , then followed with differences between the ranking results for all the

Boeing 737 MAX 8 (X3) and the third choice for the alternative is Boeing 737 MAX measures. Next, the three distance measures an also be

9 (X4). For Airbus A3320 neo (X1), this aircraft are not preferred to be chosen. applied to another dataset

The similarity measure calculation also gives the same ranking results for the

three distance measure. In conclusion, the lower distance is the best decision,

but in contradict, the higher similarity is the best alternative to be chosen.