First Order Linear Homogeneous Ordinary Differential Equation in Fuzzy Environment Based On Laplace Transform

In this paper the First Order Linear Ordinary Differential Equations (FOLODE) are described in fuzzy environment. Here coefficients and /or initial condition of FOLODE are taken as Generalized Triangular Fuzzy Numbers (GTFNs).The solution procedure of the FOLODE is developed by Laplace transform. It is illustrated by numerical examples. Finally imprecise bank account problem and concentration of drug in blood problem are described

Generalized intuitionistic fuzzy laplace transform and its application in electrical circuit

In this paper we describe the generalized intuitionistic fuzzy laplace transform method for solving first order generalized intutionistic fuzzy differential equation. The procedure is applied in imprecise electrical circuit theory problem. Here the initial condition of those applications is taken as Generalized Intuitionistic triangular fuzzy numbers (GITFNs).Publisher's Versio

First Order Linear Non Homogeneous Ordinary Differential Equation in Fuzzy Environment

In this paper, the solution procedure of a first order linear non homogeneous ordinary differential equation in fuzzy environment is described. It is discussed for three different cases. They are i) Ordinary Differential Equation with initial value as a fuzzy number, ii) Ordinary Differential Equation with coefficient as a fuzzy number and iii) Ordinary Differential Equation with initial value and coefficient are fuzzy numbers. Here fuzzy numbers are taken as Generalized Triangular Fuzzy Numbers (GTFNs). An elementary application of population dynamics model is illustrated with numerical example. Keywords: Fuzzy Ordinary Differential Equation (FODE), Generalized Triangular fuzzy number (GTFN), strong solution

Elevated progesterone level and its consequences on IVF

Background: Understanding of the embryo-endometrium dialogue is still far from being understood. During conventional in vitro fertilization cycles, progesterone elevation on the day of human chorionic gonadotropin administration refers to rising progesterone levels in the absence of either premature or a luteinizing hormone surge. Most research have reported that elevated progesterone had an adverse impact on the endometrial environment of fresh cycles, leading to a decrease in pregnancy rates.Methods: The current study was undertaken at Swagat hospital and research Centre, Bongaigaon, Assam (India). Fifty patients undergoing in vitro fertilization (IVF) were selected for the study. Baseline estimation of follicle stimulating hormone (FSH), luteinizing hormone (LH), anti-Mullerian hormone (AMH), (estrogen) E2 and (transvaginal sonography) TVS was done. The patients were grouped on the basis of their progesterone levels on the day of hCG trigger, with the cutoff for defining premature progesterone rise being (progesterone) P4≥ 3ng/ml. Final oocyte maturation was induced with hCG. Oocyte retrieval was performed 34-36 h after hCG. Two to three embryos of day 3 cleavage stage were transferred under TVS guidance. The parameters obtained from each cycle were recorded. Statistical analysis was performed. Probability (P) value <0.05 was considered statistically significant. A sonographic confirmation of pregnancy was performed 2 weeks after β-hCG positive.Results: On dividing the patients into two groups, based on the cut off of P4 as 3ng/ml, it was observed that the no of cases that conceived was significantly higher in the subjects whose P4 level was less than or equal to 3ng/ml than the subjects whose P4 level was more than 3ng/ml.Conclusions: Elevated P4 i.e. Progesterone level just before trigger is a reflection of endometrial maturity that can cause disparity between endometrial and embryonic ageing and therefore hamper implantation or cause failure in assisted reproductive technology (ART)

Synthesis of Graphene-Based Nanocomposite and Investigations of Its Thermal and Electrical Properties

We describe the synthesis of acid functionalized graphene (GE) which is grafted to chitosan (CH) by first reacting the oxidized GE with thionyl chloride to form acyl-chlorinated GE. This product is subsequently dispersed in chitosan and covalently grafted to form GE-chitosan. GE-chitosan is further grafted onto polymetanitroaniline (PMNA) by free radical polymerization conditions to yield GE-CH-PMNA. We have characterized the structure of synthesized GE-CH-PMNA composites by X-ray diffraction (XRD), Fourier transform infrared spectroscopy (FTIR), thermogravimetric analysis (TGA), scanning electron microscopy, and conductivity measurements. XRD data suggest the strongly crystalline character of the prepared specimen. Our measurement shows that the dielectric constants of these nanocomposites are remarkably enhanced due to interfacial polarization effect. This study demonstrates that functionalized graphene sheets are ideal nanofillers for the development of new polymer composites with high dielectric constant values

Time Variant Multi-Objective Interval-Valued Transportation Problem in Sustainable Development

Sustainable development is treated as the achievement of continued economic development without detriment to environmental and natural resources. Now-a-days, in a competitive market scenario, most of us are willing to pay less and to gain more in quickly without considering negative externalities for the environment and quality of life for future generations. Recalling this fact, this paper explores the study of time variant multi-objective transportation problem (MOTP) with consideration of minimizing pollution. Time of transportation is of utmost importance in reality; based on this consideration, we formulate a MOTP, where we optimize transportation time as well as the cost function. The parameters of MOTP are interval-valued, so this form of MOTP is termed as a multi-objective interval transportation problem (MOITP). A procedure is taken into consideration for converting MOITP into deterministic form and then for solving it. Goal programming is applied to solve the converted transportation problem. A case study is conducted to justify the methodology by utilizing the environmental impact. At last, conclusions and future research directions are included regarding our study.The research of Jose Luis Verdegay is supported in part by the project, financed with FEDER funds, TIN2017-86647-P from the Spanish Govern

Multi-objective fully intuitionistic fuzzy fixed-charge solid transportation problem

During past few decades, fuzzy decision is an important attention in the areas of science, engineering, economic system, business, etc. To solve day-to-day problem, researchers use fuzzy data in transportation problem for presenting the uncontrollable factors; and most of multi-objective transportation problems are solved using goal programming. However, when the problem contains interval-valued data, then the obtained solution was provided by goal programming may not satisfy by all decision-makers. In such condition, we consider a fixed-charge solid transportation problem in multi-objective environment where all the data are intuitionistic fuzzy numbers with membership and non-membership function. The intuitionistic fuzzy transportation problem transforms into interval-valued problem using (α, β)-cut, and thereafter, it reduces into a deterministic problem using accuracy function. Also the optimum value of alternative corresponds to the optimum value of accuracy function. A numerical example is included to illustrate the usefulness of our proposed model. Finally, conclusions and future works with the study are described.Portuguese Foundation for Science and Technology ("FCT-Fundacao para a Ciencia e a Tecnologia"), through the CIDMA-Center for Research and Development in Mathematics and Applications UID/MAT/ 04106/2019Spanish Ministry of Economy and Competitiveness, FEDER funds from the European Union TIN2014-55024-P TIN2017-86647-

A study on epidemiology of HER2/NEU positive breast cancer of patients presented in a tertiary care teaching hospital, Kolkata, West Bengal

Background: Breast cancer is the second most common cancer now, after lung cancer, when ranked by cancer occurrence in both sexes. The aim of this study was to determine the correlation between various modifiable and non modifiable risk factors among women with HER2/neu positive breast cancer attending at Medical College and Hospital, Kolkata. Materials &amp; Methods: A cross sectional analytical epidemiological study in Out Patient Department &amp; Emergency Department of General Surgery, Medical College&amp; Hospital, Kolkata. Period of study was between January 2018 to June 2019. All the adult breast cancer patients attending Department of General Surgery, Medical College &amp; Hospital, Kolkata were included in the study and that came out to be 25 HER2 neu positive and 35 HER2 neu negative patients. All together 60 patients were included. Results: We have found 60 patients among them 25 patients were HER2/neu positive and 35 patients were HER2/neu negative i.e. 42% of patients in our study found to be HER2/neu positive. Among these patients the patient with minimum age was 38 years old, and the maximum aged patient was 65 years old.The average age was 57.33 years. The average age of HER2/neu positive group was 57.77 years and the HER2/neu negative group was 56.48 years. About 35% of these patients had history of OCP intake. Among HER2/neu positive patients 57.1% &amp; HER2/neu negative 42.9% had history of OCP intake. Most of the patients in this study are in pre-obese (BMI 25-29.99) class as per BMI. About 18 HER2/neu positive patients and 26 HER2/neu negative patients are within this group. Five (14.28%) patient in HER2/neu negative group and 3 (12%) in HER2/neu positive group has positive family history of breast cancer. In our study we have found that menarche of minimum age of 9 years and maximum age at 15 years. Maximum no. of patients found their menarche at the age of 12 years. Conclusion: From our study and analysis we could not establish any obvious significant difference between epidemiological distributions of breast cancer patients in respect to HER2/neu status. Hence this can be concluded from our study that there is no different epidemiological pattern of breast cancer in respect to HER2/neu status

Occurrence, prevalence and molecular characterization of Norileca indica (Milne Edwards, 1840) (Isopoda: Cymothoidae) on bigeyescad Selar crumenophthalmus (Bloch) from Andaman Islands India

452-456The present investigation reports the occurrence and prevalence of the parasitic cymothoid, Norileca indica infesting bigeyescad, Selar crumenophthalmus from the Andaman Islands. Damage in the form of erosion of gill filament and necrosis in the gill chamber of the host fish, with a prevalence of 26.08% and a mean intensity of 1.5 is recorded. Molecular characterization of the mitochondrial COI and 28S rDNA genes is done to establish its phylogenetic status with its known congener. The present report is the first record of N. indica infesting S. crumenophthalmus from the Andaman Islands