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Opial-type inequalities for interval-valued functions

Fuzzy Sets and Systems, 2019
This paper establishes Opial-type inequalities for generalized Hukuhara differentiable interval-valued functions. Numerical examples are presented to illustrate the applicability of theory developed herein.
T. M. Costa   +2 more
semanticscholar   +3 more sources

Constructing Interval-Valued Fuzzy Material Implication Functions derived from General Interval-Valued Grouping Functions

2022 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2022
upported by CNPq (301618/2019-4, 311429/2020-3), FAPERGS (19/2551-0001660-3), UFERSA, the Spanish Ministry of Science and Technology (TIN2016-77356-P, PID2019-108392GB I00 (MCIN/AEI/10.13039/501100011033)) and Navarra de Servicios y Tecnologías, S.A. (NASERTIC).
Pereira Dimuro, Graçaliz   +6 more
openaire   +2 more sources

Decomposition Integrals for Interval-Valued Functions

Computational Intelligence and Mathematics for Tackling Complex Problems 2, 2022
A. Šeliga
semanticscholar   +2 more sources

General interval-valued overlap functions and interval-valued overlap indices

Information Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tiago da Cruz Asmus   +5 more
openaire   +2 more sources

General Interval-valued Grouping Functions

2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2020
Grouping functions are aggregation functions used in decision making based on fuzzy preference relations in order to express the measure of the amount of evidence in favor of either of the two alternatives when performing pairwise comparisons. They have been also used as a disjunction operator in some important problems, such as image thresholding and ...
Tiago da Cruz Asmus   +5 more
openaire   +1 more source

Generalized-Hukuhara subgradient and its application in optimization problem with interval-valued functions

Sādhanā, 2021
In this article, the concepts of gH-subgradient and gH-subdifferential of interval-valued functions are illustrated. Several important characteristics of the gH-subdifferential of a convex interval-valued function, e.g., closeness, boundedness, chain ...
Debdas Ghosh   +3 more
semanticscholar   +1 more source

Sequential Henstock integrals for interval valued functions

2022
Summary: We introduce the concept of sequential Henstock integrals for interval valued functions and discuss some of their properties.
Iluebe, Victor, Mogbademu, Adesanmi
openaire   +1 more source

Some novel inequalities for LR‐ h ‐convex interval‐valued functions by means of pseudo‐order relation

Mathematical methods in the applied sciences, 2021
In both theoretical and applied mathematics fields, integral inequalities play a critical role. Due to the behavior of the definition of convexity, both concepts convexity and integral inequality depend on each other.
Muhammad Bilal Khan   +3 more
semanticscholar   +1 more source

Interval-valued pre-aggregation functions: a study of directional monotonicity of interval-valued functions

2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019
Pre-aggregation functions have extended the framework of valid functions to fuse data with respect to aggregation functions, in the sense that the monotonicity requirements are relaxed. Moreover, this class of functions has proven to be useful in classification problems.
Mikel Sesma-Sara   +4 more
openaire   +1 more source

Some generalizations of Opial type inequalities for interval-valued functions

Fuzzy Sets Syst., 2021
We establish some new Opial type inequalities for interval-valued functions, and obtain some generalizations and refinements of interval Opial type inequalities derived by Costa et al. (2019) [12] .
Dafang Zhao, Tianqing An, G. Ye, Wei Liu
semanticscholar   +1 more source

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