•Journal•ISSN: 1976-8605

# The Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society

About: The Korean Journal of Mathematics is an academic journal. The journal publishes majorly in the area(s): Fuzzy logic & Banach space. It has an ISSN identifier of 1976-8605. It is also open access. Over the lifetime, 960 publications have been published receiving 1180 citations.

##### Papers published on a yearly basis

##### Papers

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TL;DR: A fuzzy partial order relation is defined as fuzzy relations, a fuzzy lattice is characterized using its level set, it is shown that a fuzzy totally ordered set is a distributive fuzzy lattICE, and the direct product of two fuzzy lattices is a fuzzy pies.

Abstract: We characterize a fuzzy partial order relation using its level set, find sufficient conditions for the image of a fuzzy partial order relation to be a fuzzy partial order relation, and find sufficient conditions for the inverse image of a fuzzy partial order relation to be a fuzzy partial order relation. Also we define a fuzzy lattice as fuzzy relations, characterize a fuzzy lattice using its level set, show that a fuzzy totally ordered set is a distributive fuzzy lattice, and show that the direct product of two fuzzy lattices is a fuzzy lattice.

37 citations

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TL;DR: In this paper, a combined form for solving nonlinear interval Volterra-Fredholm integral equations of the second kind based on the modifying Laplace Adomian decomposition method was proposed.

Abstract: In this paper, we propose a combined form for solving nonlinear interval Volterra-Fredholm integral equations of the second kind based on the modifying Laplace Adomian decomposition method. We find the exact solutions of nonlinear interval Volterra-Fredholm integral equations with less computation as compared with standard decomposition method. Finally, an illustrative example has been solved to show the efficiency of the proposed method.

21 citations

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TL;DR: In this article, the authors investigated star-likeness condi- tions for a differential operator by using the concept of quantum calculus in the unit disk and showed that quantum calculus can be used to obtain star-like properties for the differential operator.

Abstract: In the present paper, we investigate starlikeness condi- tions for $ q$ − differential operator by using the concept of quantum calculus in the unit disk.

21 citations

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TL;DR: In this article, the authors present some trace inequalities for positive definite matrices in statistical mechanics and prove the method of the uniform bound on the generating functional for the semi-classical model.

Abstract: In this paper we present some trace inequalities for positive definite matrices in statistical mechanics. In order to prove the method of the uniform bound on the generating functional for the semi-classical model, we use some trace inequalities and matrix norms and properties of trace for positive definite matrices.

20 citations

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TL;DR: In this paper, the superadditivity and monotonicity of convex functions of selfadjoint operators in Hilbert spaces are investigated and some trace inequalities for matrices are also derived.

Abstract: Some new trace inequalities for convex functions of selfadjoint operators in Hilbert spaces are provided. The superadditivity and monotonicity of some associated functionals are investigated. Some trace inequalities for matrices are also derived. Examples for the operator power and logarithm are presented as well.

17 citations