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Evaluation of Waterpark Performance Using Distance Measure on Pythagorean Fuzzy Sets

Jurnal Matematika, Statistika dan Komputasi · Vol. 22 No. 2 (2026) · pp. 380–394

DOI
10.20956/j.v22i2.47904
ISSN
2614-8811, 1858-1382
Published
2026-01-10
Publisher
Department of Mathematics, Hasanuddin University
Language
en
License
creativecommons.org/licenses/by/4.0

Abstract

The rapid growth of the tourism industry, particularly in waterparks, necessitates a comprehensive evaluation to enhance customer satisfaction and competitiveness. This study aims to evaluate the performance of waterparks in Manado City using the Distance Measure method on Pythagorean Fuzzy Sets (PFS). Data were collected through questionnaires from 100 visitors across four waterparks: Lomban, Mercy, Citraland, and Paradise. The findings reveal that Citraland Waterpark achieved the highest relative similarity score of 0.5234, followed closely by Lomban Waterpark at 0.51990 and Mercy Waterpark at 0.51949, while Paradise Waterpark ranked last with a score of 0.4762. Further analysis indicates that Citraland Waterpark excels in nearly all evaluation attributes, including service quality and cleanliness. This research demonstrates the effectiveness of applying Distance Measure on PFS in addressing uncertainties in subjective customer assessments, providing valuable insights for waterpark managers to enhance service quality. Future research is recommended to expand the study to include additional waterparks and evaluation attributes for a more comprehensive analysis.

Keywords

Collaboration network of the authors

13 authors · 19 co-authorship links · 5 across different organisations

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Pukyong National University
  • Sam Ratulangi University
  • National Chung Hsing University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Hyuck Moo KwonPukyong National University1
Tzong‐Ru LeeNational Chung Hsing University1
Jang HyonPukyong National University1
Harubali HarubaliAffiliation unknown1
Damhuri DamhuriAffiliation unknown1
Safilu SafiluAffiliation unknown1
Irma NurjannahAffiliation unknown1
Santi SantiAffiliation unknown1
Syamsuddin ToahaAffiliation unknown1
Kasbawati KasbawatiAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en">Evaluation of Waterpark Performance Using Distance Measure on Pythagorean Fuzzy Sets</dc:title>
	<dc:creator xml:lang="en">Amaluddin, Amaluddin</dc:creator>
	<dc:creator xml:lang="en">Sutrisno, Agung</dc:creator>
	<dc:creator xml:lang="en">Aprilyani, Lilis Dwi Sapta</dc:creator>
	<dc:subject xml:lang="en">Waterpark</dc:subject>
	<dc:subject xml:lang="en">Pythagorean Fuzzy Set</dc:subject>
	<dc:subject xml:lang="en">Distance Measure</dc:subject>
	<dc:subject xml:lang="en">Performance Evaluation</dc:subject>
	<dc:description xml:lang="en">The rapid growth of the tourism industry, particularly in waterparks, necessitates a comprehensive evaluation to enhance customer satisfaction and competitiveness. This study aims to evaluate the performance of waterparks in Manado City using the Distance Measure method on Pythagorean Fuzzy Sets (PFS). Data were collected through questionnaires from 100 visitors across four waterparks: Lomban, Mercy, Citraland, and Paradise. The findings reveal that Citraland Waterpark achieved the highest relative similarity score of 0.5234, followed closely by Lomban Waterpark at 0.51990 and Mercy Waterpark at 0.51949, while Paradise Waterpark ranked last with a score of 0.4762. Further analysis indicates that Citraland Waterpark excels in nearly all evaluation attributes, including service quality and cleanliness. This research demonstrates the effectiveness of applying Distance Measure on PFS in addressing uncertainties in subjective customer assessments, providing valuable insights for waterpark managers to enhance service quality. Future research is recommended to expand the study to include additional waterparks and evaluation attributes for a more comprehensive analysis.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2026-01-10</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
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	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/47904</dc:identifier>
	<dc:identifier>10.20956/j.v22i2.47904</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 22 No. 2 (2026): JANUARY 2026; 380-394</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/47904/13991</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2026 Jurnal Matematika, Statistika dan Komputasi</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
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