{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T07:16:25Z","timestamp":1777706185113,"version":"3.51.4"},"reference-count":20,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2025,6,26]],"date-time":"2025-06-26T00:00:00Z","timestamp":1750896000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems: Applications in Engineering and Technology"],"published-print":{"date-parts":[[2025,9]]},"abstract":"<jats:p>\n                    In this paper, seven different entropy measures are considered to measure the relative entropy loss when the Weibull distribution is truncated on\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mo stretchy=\"false\">[<\/mml:mo>\n                        <mml:mrow>\n                          <mml:mn>0<\/mml:mn>\n                          <mml:mo>,<\/mml:mo>\n                          <mml:mspace width=\"0.25em\"\/>\n                          <mml:mi>t<\/mml:mi>\n                        <\/mml:mrow>\n                        <mml:mo stretchy=\"false\">)<\/mml:mo>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    instead of considering the Weibull distribution on\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mo stretchy=\"false\">[<\/mml:mo>\n                        <mml:mrow>\n                          <mml:mn>0<\/mml:mn>\n                          <mml:mo>,<\/mml:mo>\n                          <mml:mspace width=\"0.25em\"\/>\n                          <mml:mi mathvariant=\"normal\">\u221e<\/mml:mi>\n                        <\/mml:mrow>\n                        <mml:mo stretchy=\"false\">)<\/mml:mo>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    . Numerical comparisons are performed by using hypothetical and two real data sets to see which entropy measure has an advantage in terms of relative entropy loss over other measures. The results illustrate that Shannon, Renyi, Tsallis, Havrda, and Charvat can be considered the best solution as compared to Awad et\u00a0al.\n                  <\/jats:p>","DOI":"10.1177\/18758967251353019","type":"journal-article","created":{"date-parts":[[2025,6,26]],"date-time":"2025-06-26T03:08:12Z","timestamp":1750907292000},"page":"627-641","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["On the Comparison of Entropy Measures for the Weibull Distribution and Its Applications"],"prefix":"10.1177","volume":"49","author":[{"given":"Shaista","family":"Aman","sequence":"first","affiliation":[{"name":"Department of Statistics, University of Peshawar, Peshawar, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alamgir","family":"Khalil","sequence":"additional","affiliation":[{"name":"Department of Statistics, University of Peshawar, Peshawar, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1403-7093","authenticated-orcid":false,"given":"Muhammad","family":"Ijaz","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, The University of Haripur, Haripur, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Soofia","family":"Iftikhar","sequence":"additional","affiliation":[{"name":"Department of Statistics, Shaheed Benazir Bhutto Women University Peshawar,\u00a0Peshawar,\u00a0Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sadiah MA","family":"Aljeddani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Al-Lith College, Umm Al-Qura University, Al-Lith, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2025,6,26]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.3390\/e23111493"},{"key":"e_1_3_3_3_1","first-page":"7","article-title":"Statistical information measure","volume":"12","author":"Award M. 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