Ifigenia Administrator: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = On intuitionistic fuzzy numbers and compact intervals | shortcut = nifs/32/3/203-212 }} {{issue/author | author = El Houssine Bouzid | institution = Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technolog..."

2026-11-03T15:53:07Z

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = On intuitionistic fuzzy numbers and compact intervals | shortcut = nifs/32/3/203-212 }} {{issue/author | author = El Houssine Bouzid | institution = Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technolog..."

New page

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = On intuitionistic fuzzy numbers and compact intervals
| shortcut = nifs/32/3/203-212
}}
{{issue/author
| author = El Houssine Bouzid
| institution = Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technology, Sultan Moulay Slimane University
| address = Beni Mellal, Morocco
| email-before-at = elhoussine.bouzid
| email-after-at = usms.ma
| orcid = 0009-0008-1227-9519
}}
{{issue/author
| author = Bouchra Ben Amma
| institution = Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technology, Sultan Moulay Slimane University
| address = Beni Mellal, Morocco
| email-before-at = b.benamma
| email-after-at = usms.ma
| orcid = 0000-0002-0663-3381
}}
{{issue/author
| author = Said Melliani
| institution = Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technology, Sultan Moulay Slimane University
| address = Beni Mellal, Morocco
| email-before-at = s.melliani
| email-after-at = usms.ma
| orcid = 0000-0002-5150-1185
}}
{{issue/author
| author = Lalla Saadia Chadli
| institution = Laboratory of Applied Mathematics and Scientific Computing, Faculty of Sciences and Technology, Sultan Moulay Slimane University
| address = Beni Mellal, Morocco
| email-before-at = sa.chadli
| email-after-at = yahoo.fr
| orcid = 0000-0002-0659-8774
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 203–212
| doi = https://doi.org/10.7546/nifs.2026.32.3.203-212
| file = NIFS-32-3-203-212.pdf
| format = PDF
| size = 200
| abstract = In this paper, we investigate the relationship between intuitionistic fuzzy numbers and compact intervals. We give necessary and sufficient conditions for a family of intervals to define an intuitionistic fuzzy number. We also give a method for constructing non-linear intuitionistic fuzzy numbers. Our approach provides a new standpoint for understanding the structure of intuitionistic fuzzy numbers and offers a tool that may simplify further analysis in intuitionistic fuzzy calculus, particularly non-linear intuitionistic fuzzy integral and differential equations. Clarifying examples are also presented to illustrate the key findings.
| keywords = Intuitionistic fuzzy numbers, Real intervals, Membership function, Non-membership function.
| ams = 03E72, 28E10, 47H10.
| references =
# Akin, O., & Bayeğ, S. (2018). [[Issue:System of intuitionistic fuzzy differential equations with intuitionistic fuzzy initial values|System of intuitionistic fuzzy differential equations with intuitionistic fuzzy initial values]]. Notes on Intuitionistic Fuzzy Sets, 24(4), 141–171.
# Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing, Vol. 35. Physica-Verlag, Heidelberg.
# Bede, B. (2013). Mathematics of Fuzzy Sets and Fuzzy Logic. Studies in Fuzziness and Soft Computing, Vol. 295. Springer, Berlin/Heidelberg.
# Ettoussi, R., Melliani, S., & Chadli, L. S. (2017). [[Issue:Differential equation with intuitionistic fuzzy parameters|Differential equation with intuitionistic fuzzy parameters]]. Notes on Intuitionistic Fuzzy Sets, 23(4), 46–61.
# Giri, B. K., He, S., Yu, V. F., Sakalauskas, L., Roy, S. K., & Lesmono, D. (2026). Sustainable bioethanol supply chain through biomass optimization and type-2 intuitionistic fuzzy modeling. OPSEARCH, doi: 10.1007/s12597-026-01111-3.
# Le, H.-T., & Chu, T.-C. (2026). Evaluating sustainable business model innovations under ESG by signed distance based intuitionistic fuzzy MCDM method. Advances in Fuzzy Systems, 2026, Article ID 7841020.
# Lei, Q., & Xu, Z. (2017). Intuitionistic Fuzzy Calculus. Studies in Fuzziness and Soft Computing, Vol. 353. Springer, Cham.
# Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015). [[Issue:Intuitionistic fuzzy metric space|Intuitionistic fuzzy metric space]]. Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
# Negoiță, C., & Ralescu, D. (1975). Applications of Fuzzy Sets to Systems Analysis. Birkhauser, Basel.
# Sah, D. K., & Ballem, S. (2025). [[Issue:Numerical solution of an intuitionistic fuzzy parabolic partial differential equation using an explicit cubic spline method|Numerical solution of an intuitionistic fuzzy parabolic partial differential equation using an explicit cubic spline method]]. Notes on Intuitionistic Fuzzy Sets, 31(3), 386–401.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.

| citations =
| see-also =
}}

Issue:On intuitionistic fuzzy numbers and compact intervals - Revision history