Interval-Valued Intuitionistic Fuzzy Confidence Intervals

Kahraman C., Öztayşi B., Çevik Onar S.

JOURNAL OF INTELLIGENT SYSTEMS, cilt.28, sa.2, ss.307-319, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1515/jisys-2017-0139
  • Dergi Adı: JOURNAL OF INTELLIGENT SYSTEMS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.307-319
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Confidence intervals are useful tools for statistical decision-making purposes. In case of incomplete and vague data, fuzzy confidence intervals can be used for decision making under uncertainty. In this paper, we develop interval-valued intuitionistic fuzzy (IVIF) confidence intervals for population mean, population proportion, differences in means of two populations, and differences in proportions of two populations. The developed IVIF intervals can be used in cases of both finite and infinite population sizes. The developed fuzzy confidence intervals are equivalent decision-making tools to fuzzy hypothesis tests. We apply the proposed confidence intervals to the differences in the mean lives and failure proportions of two types of radiators used in automobiles, and a sensitivity analysis is given to check the robustness of the decisions.