https://ir.vidyasagar.ac.in/jspui/handle/123456789/6816 2026-05-01T10:26:35Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/6863 Title: On the Exponential Diophantine Equation 23x – 19y = z2 Authors: Rao, Chikkavarapu Gnanendra Abstract: This article attempts to solve the exponential Diophantine equation 23x − 19y =z2 where x, y and z are non-negative integers using Catalan’s conjecture, factorisation methods, modular arithmetic, and elementary mathematical concepts. This equation has exactly two solutions (x,y,z) = (0,0,0), ( 1,1,2). Description: PP:1-4 2022-12-30T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/6862 Title: An Inflation Effect on Deteriorating Production Inventory Model with Price and Stock Dependent Demand Authors: Hossen, Mohammad Anwar Abstract: This paper presents two production inventory models for deteriorating items with price and stock-dependent demand that take inflation into account. We formulated the corresponding problem as a nonlinearly constrained optimization problem and solved it using the Generalized Reduced Gradient Method. A set of numerical examples have been considered to illustrate the models, and the significant features of the results are discussed. On the basis of these examples, we have compared the two models. Sensitivity analyses have been conducted taking one parameter at a time while keeping the other parameters the same. Description: PP:5-19 2022-12-30T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/6861 Title: An Application of Interval-Valued Intuitionistic Fuzzy Relation Predicting Scores in Game Theory Authors: Akter, Mousumi; Karim, Md.Nasimul; Hossain, Md. Sahadat Abstract: Portend the scores of a match is inquisitive about match lovers and, owing to its complexity, becomes very interesting and meaningful as a research topic. In this paper, our work motive is to predict scores in a game from multi-observer data based on the knowledge of the min-max, max-product and max-average composition of intervalvalued intuitionistic fuzzy relations (IIFR). First, we accumulated an IIFR chart regarding an explicit emergency to obtain the required result and inspected it using the min-max, max-product and max-average composition of IIFR’s. Finally, we weigh up the three outcomes and discern that max product composition is more reliable among them. Description: PP:21-26 2022-12-30T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/6838 Title: On the Exponential Diophantine Equation 3x - 2.5y = z2 Authors: Gope, Rathindra Chandra; Bin Masud, Md. Abdullah Abstract: In this paper, we introduce the notion of the exponential Diophantine equation. We also did some characterisations of the Diophantine equation. In this article, we study and establish the theorem of the Diophantine equation 3x - 2. 5y = z 2 where x, y and z are non-negative integers which have no non-negative solution. Description: PP:27-30 2022-12-30T00:00:00Z