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  1. Generalized Hukuhara Hadamard derivative of interval-valued functions and its applications to interval optimization

    In this article, we study the notion of gH -Hadamard derivative for interval-valued functions (IVFs) and apply it to solve interval optimization...

    Ram Surat Chauhan, Debdas Ghosh, Qamrul Hasan Ansari in Soft Computing
    Article 16 December 2023
  2. α-Interval Valued Fuzzy Sets and α-Interval Valued Fuzzy Subgroups

    α-interval valued sets are studied in the paper. The members of these sets are sub-closed intervals that include α of unit interval. Basic...
    Chapter 2024
  3. Decomposition Integrals for Interval-Valued Functions

    In thisŠeliga, Adam contribution we define a new integral for interval-valued functions. This integral is an extension of a decomposition integral...
    Chapter 2022
  4. Algebraic structure through interval-valued fuzzy signature based on interval-valued fuzzy sets

    This paper delivers three different ways to establish the initial structure of the interval-valued fuzzy signature (IVFSig). In recent years,...

    Sangeetha Palanisamy, Jayaraman Periyasamy in Granular Computing
    Article 09 March 2023
  5. Understanding Brain Magnetic Resonance Images from Automatically Generated Interval-Valued Membership Functions

    Medical images are representations of tissues and parts of the human body which play a crucial role in diagnosis assistance and human anatomy...
    Conference paper 2024
  6. Approximation results by fuzzy Bernstein type rational functions via interval-valued fuzzy number

    In this study, we aim to extend approximation results for Bernstein type rational functions from real function space to fuzzy function space by using...

    Esma Yıldız Özkan, Bipan Hazarika in Soft Computing
    Article 20 March 2023
  7. Interval valued picture fuzzy matrix: basic properties and application

    The use of matrix theory in decision-making problems has been a subject of great interest for researchers. However, recent developments have shown...

    Vineet Kumar, Anjana Gupta, H. C. Taneja in Soft Computing
    Article 11 December 2023
  8. Generalized-Hukuhara subgradient and its application in optimization problem with interval-valued functions

    In this article, the concepts of gH -subgradient and gH -subdifferential of interval-valued functions are illustrated. Several important...

    Debdas Ghosh, Amit Kumar Debnath, ... Radko Mesiar in Sādhanā
    Article 12 March 2022
  9. Hermite–Hadamard Type Inequalities for Interval-Valued Preinvex Functions via Fractional Integral Operators

    In this article, the notion of interval-valued preinvex functions involving the Riemann–Liouville fractional integral is described. By applying...

    Hari Mohan Srivastava, Soubhagya Kumar Sahoo, ... Bibhakar Kodamasingh in International Journal of Computational Intelligence Systems
    Article Open access 19 January 2022
  10. Sufficient conditions for interval-valued optimal control problems in admissible orders

    This paper addresses the optimal control problems with an interval-valued objective function. We consider a type of total order relationships ...

    Lifeng Li, Jianke Zhang in Soft Computing
    Article 08 January 2024
  11. Semantic of Automatically Generated Interval-Valued Memberships Functions in Brain Magnetic Resonance Images

    Medical image segmentation plays a crucial role in diagnosis assistance. In previous works, we proposed a classification method called Type-2...
    D. S. Comas, G. J. Meschino, V. L. Ballarin in International Conference on Biomedical and Health Informatics 2022
    Conference paper 2024
  12. Self-adaptive interval dominance-based feature selection for monotonic classification of interval-valued attributes

    Dominance rough set theory is a key mathematical tool for addressing monotonic classification tasks (MCTs). However, current dominance rough set...

    Jiankai Chen, Zhongyan Li, ... Junhai Zhai in International Journal of Machine Learning and Cybernetics
    Article 29 November 2023
  13. Parameterized Interval-Valued Aggregation Functions in Classification of Data with Large Number of Missing Values

    In this contribution parameterized interval-valued aggregation functions are applied in an algorithm based on k nearest neighbours algorithm which...
    Conference paper 2023
  14. Riemann–Liouville Fractional Integral Inequalities for Generalized Harmonically Convex Fuzzy-Interval-Valued Functions

    The framework of fuzzy-interval-valued functions (FIVFs) is a generalization of interval-valued functions (IVF) and single-valued functions. To...

    Muhammad Bilal Khan, Hatim Ghazi Zaini, ... Mohamed S. Soliman in International Journal of Computational Intelligence Systems
    Article Open access 29 April 2022
  15. Multi-Granularity Probabilistic Rough Fuzzy Sets for Interval-Valued Fuzzy Decision Systems

    The probabilistic rough set (PRS) model, through the incorporation of error levels, represents a quantitative extension of the classical rough set...

    Article 11 August 2023
  16. Mathematical Investigation of Communication and Network Securities Under Interval-Valued Complex Spherical Fuzzy Information

    The goal of this study is to provide a framework for a novel concept, which is highly effective at expressing ambiguous information in two...

    Naeem Jan, Jeonghwan Gwak, ... Abdul Nasir in International Journal of Fuzzy Systems
    Article 25 September 2023
  17. Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties

    This paper is devoted to the study of gH - Clarke derivative for interval-valued functions. To find properties of the gH -Clarke derivative, the...

    Ram Surat Chauhan, Debdas Ghosh, ... Amit Kumar Debnath in Soft Computing
    Article 04 October 2021
  18. Weak sharp minima for interval-valued functions and its primal-dual characterizations using generalized Hukuhara subdifferentiability

    This article introduces the concept of weak sharp minima for convex interval-valued functions. To solve constrained and unconstrained convex IOPs by...

    Krishan Kumar, Debdas Ghosh, Gourav Kumar in Soft Computing
    Article 14 July 2022
  19. Interval Valued Intuitionistic Fuzzy Diagonal Optimal Algorithm to Solve Transportation Problems

    Civilization is established as a result of transportation activities all over the world. Transportation plays a major role for the economic growth of...

    J. Jansi Rani, A. Manivannan, S. Dhanasekar in International Journal of Fuzzy Systems
    Article 11 March 2023
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