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On Interval-Valued Pseudolinear Functions and Interval-Valued Pseudolinear Optimization Problems [PDF]

open access: yesJournal of Function Spaces, 2015
Some basic characterizations of an interval-valued pseudolinear function are derived. By means of the properties of interval-valued pseudolinearity, a class of interval-valued pseudolinear programs is considered, and the solution set of the interval ...
Jianke Zhang   +4 more
doaj   +3 more sources

On Properties of the Choquet Integral of Interval-Valued Functions [PDF]

open access: yesJournal of Applied Mathematics, 2011
Based on the concept of an interval-valued function which is motivated by the goal to represent an uncertain function, we define the Choquet integral with respect to a fuzzy measure of interval-valued functions.
Lee-Chae Jang
doaj   +3 more sources

Interval-Valued Pseudo Overlap Functions and Application

open access: yesAxioms, 2022
A class of interval-valued OWA operators can be constructed from interval-valued overlap functions with interval-valued weights, which plays an important role in solving multi-attribute decision making (MADM) problems considering interval numbers as ...
Rong Liang, Xiaohong Zhang
doaj   +2 more sources

On Monotonicities of Interval Valued Functions

open access: yesCoRR, 2022
3 ...
Ana Shirley Monteiro   +4 more
openaire   +2 more sources

Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities

open access: yesInternational Journal of Computational Intelligence Systems, 2021
It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana   +4 more
doaj   +1 more source

On preinvex interval-valued functions and unconstrained interval-valued optimization problems

open access: yesRAIRO - Operations Research, 2023
The main objective of this paper is to investigate the generalized convexity of interval-valued functions under the total order relation and apply it to a class of unconstrained interval-valued optimization problems. For this purpose, we present the new definition of preinvex interval-valued functions and obtain its several fascinating ...
Fangfang Shi   +3 more
openaire   +1 more source

Some Hadamard–Fejér Type Inequalities for LR-Convex Interval-Valued Functions

open access: yesFractal and Fractional, 2021
The purpose of this study is to introduce the new class of Hermite–Hadamard inequality for LR-convex interval-valued functions known as LR-interval Hermite–Hadamard inequality, by means of pseudo-order relation ( ≤p ).
Muhammad Bilal Khan   +4 more
doaj   +1 more source

Optimality conditions in a class of generalized convex optimization problems with the multiple interval-valued objective function

open access: yesSystems and Soft Computing, 2023
In this paper, a new class of generalized convex optimization problems with a multiple interval-valued objective function is considered. The concepts of B-preinvexity, B-invexity, and the generalized of B-invexity are extended to interval-valued ...
Najeeb Abdulaleem
doaj   +1 more source

An Interval-Valued Three-Way Decision Model Based on Cumulative Prospect Theory

open access: yesAppliedMath, 2023
In interval-valued three-way decision, the reflection of decision-makers’ preference under the full consideration of interval-valued characteristics is particularly important. In this paper, we propose an interval-valued three-way decision model based on
Hongli Zhou, Xiao Tang, Rongle Zhao
doaj   +1 more source

Distance-Based Knowledge Measure and Entropy for Interval-Valued Intuitionistic Fuzzy Sets

open access: yesMathematics, 2023
The knowledge measure or uncertainty measure for constructing interval-valued intuitionistic fuzzy sets has attracted much attention. However, many uncertainty measures are measured by the entropy of interval-valued intuitionistic fuzzy sets, which ...
Chunfeng Suo, Xuanchen Li, Yongming Li
doaj   +1 more source

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