https://ir.vidyasagar.ac.in/jspui/handle/123456789/314 2026-04-26T01:28:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/945 Title: Fuzzy Set Theory in Real-World Knowledge and Medical Diagnosis Process Authors: Dev, Utpalendu; Sultana, Abeda; Mitra, Nirmal Kanti Abstract: Fuzzy set theory has a number of properties that make it suitable for formalizing the uncertain information upon which medical diagnosis and treatment is usually based. Firstly, it allows us to define inexact medical entities as fuzzy sets. Secondly, it provides a linguistic approach with an excellent approximation to texts. Finally, fuzzy logic offers powerful reasoning methods capable of drawing approximate inferences. These facts suggest that fuzzy set theory might be a suitable basis for the development of a computerized diagnosis and treatment- recommendation system. This is borne out by trials performed with the medical expert system CADIAG- 2, which uses fuzzy set theory to formalize medical relationships Description: 7-18 2015-12-24T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/946 Title: Optimal Design for Accelerated Life Tests Under Progressively Type-II Hybrid Censoring Authors: Shi, Yimin Abstract: This paper presents the constant-stress and step-stress accelerated life tests model with two stress levels under the progressively Type-II hybrid censoring. The optimal test design plans for accelerated life tests are studied. It is assumed that the lifetime of the items follow the exponential distribution. The explicit conditional density functions of order statistics under progressively Type-II hybrid censoring scheme are given to obtain the expected Fisher information matrix. The optimal test design plan with the minimum asymptotic variance of the mean life under the use stress level is determined. The test units allocated to each stress in constant-stress accelerated life test and the changing time to severer accelerated stress in step-stress accelerated life test are obtained. Finally, a numerical example is presented by the Monte Carlo simulation to illustrate the optimal test design plan. It is shown that the step-stress accelerated life test is a better choice Description: 133-142 2015-12-24T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/944 Title: Estimation and Optimal Plan in Step-Stress Partially Accelerated Life Test Model with Progressive Hybrid Censored Data from Pareto Distribution Authors: Shi, Yimin; Shi, Xiaolin Abstract: This paper proposes a step-stress partially accelerated life test model from Pareto lifetime distribution under progressive type-I hybrid censoring. Maximum likelihood estimators (MLEs) of the distribution parameters and acceleration factor are derived by using Newton-Raphson algorithm. In addition, the approximate fisher information matrix is calculated for constructing the approximate confidence intervals of the parameters and acceleration factor. The approximate confidence intervals (ACIs) are derived based on normal approximation to the asymptotic distribution of MLEs. Optimal step-stress partially accelerated life test plan is developed by minimizing the generalized asymptotic variance (GAV) of the MLEs of the model parameters. Finally, a Monte-Carlo simulation study is carried out to illustrate the effectiveness of the proposed methods Description: 53-62 2015-12-24T00:00:00Z https://ir.vidyasagar.ac.in/jspui/handle/123456789/943 Title: Heat and Mass Transfer Flow Past a Vertical Porous Plate in the Presence of Radiation Authors: Guria, M Abstract: An analysis is made on the three dimensional mixed convection and mass transfer flow past a vertical porous plate in the presence of radiation with uniform free stream velocity. The solutions have been obtained for the velocity, temperature and concentration fields, shear stresses, rate of heat transfer and mass transfer using perturbation technique. It is found that the primary velocity decrease with the increase of both radiation parameter and Schmidt number but increase with the increase of Grashoff number as well as mass Grashoff number. The temperature distribution decrease with the increase of both radiation parameter and Reynolds number. The Concentration field also decrease with the increase of both Schmidt number as well as Reynolds number. The shear stresses, the rate of heat transfer and mass transfer which are of physical interest are presented in the form of tables Description: 143-158 2015-12-24T00:00:00Z