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Arithmetic Operations of Generalized Trapezoidal Picture Fuzzy Numbers by Vertex Method

American Journal of Computational Mathematics 2023年第1期13卷 99-121页

作者： Mohammad Kamrul Hasan Abeda Sultana nirmal kanti mitra Department of Mathematics Jahangirnagar University Savar Bangladesh Department of Mathematics and Statistics Bangladesh University of Business and Technology Dhaka Bangladesh

In this article, we define the arithmetic operations of generalized trapezoidal picture fuzzy numbers by vertex method which is assembled on a combination of the (α, γ, β)-cut concept and standard interval analysis. Various related properties are explored. Finally, some computations of picture fuzzy functions over generalized picture fuzzy variables are illustrated by using our proposed technique.

关键词： Picture Fuzzy Set Generalized Trapezoidal Picture Fuzzy Number (α γ β)-Cut Arithmetic Operations Vertex Method

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Picture Fuzzy Relations over Picture Fuzzy Sets

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American Journal of Computational Mathematics 2023年第1期13卷 161-184页

Nowadays, picture fuzzy set theory is a flourishing field in mathematics with uncertainty by incorporating the concept of positive, negative and neutral membership degrees of an object. A traditional crisp relation represents the satisfaction or the dissatisfaction of relationship, connection or correspondence between the objects of two or more sets. However, there are some problems that can’t be solved through classical relationships, such as the relationship between two objects being vague. In those situations, picture fuzzy relation over picture fuzzy sets is an important and powerful concept which is suitable for describing correspondences between two vague objects. It represents the strength of association of the elements of picture fuzzy sets. It plays an important role in picture fuzzy modeling, inference and control system and also has important applications in relational databases, approximate reasoning, preference modeling, medical diagnosis, etc. In this article, we define picture fuzzy relations over picture fuzzy sets, including some other fundamental definitions with illustrations. The max-min and min-max compositions of picture fuzzy relations are defined in the light of picture fuzzy sets and discussed some properties related to them. The reflexivity, symmetry and transitivity of a picture fuzzy relation are described over a picture fuzzy set. Finally, various properties are explored related to the picture fuzzy relations over a picture fuzzy set.

关键词： Picture Fuzzy Sets Picture Fuzzy Relations Picture Fuzzy Binary Rela-tions Composition of Picture Fuzzy Relations

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Microbial profile of some ready-to-cook frozen food items sold in Dhaka city,Bangladesh

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Food Science and Human Wellness 2022年第2期11卷 289-296页

作者： Md.Shamimuzzaman Rajib kanti Roy Toma Rani Majumder nirmal Chandra Barman Nazia Nawshad Lina Md.Tarek Hasan Biplab Kumar Dash Department of Microbiology Jashore University of Science and TechnologyJashore 7408Bangladesh Department of Nutrition and Food Technology Jashore University of Science and TechnologyJashore 7408Bangladesh Department of Genetic Engineering and Biotechnology Jashore University of Science and TechnologyJashore 7408Bangladesh Department of Biotechnology and Genetic Engineering Islamic UniversityKushtia 7003Bangladesh

This study aimed to assess the microbiological quality of 159 animal-and plant-based ready-to-cook(RTC)frozen food items currently popular in *** analyses were carried out to enumerate total aerobic counts of mesophilic bacteria,yeast and mold and to detect some common foodborne pathogens according to standard microbiological *** microbial loads in all animal-based food types,other than chicken strips were *** contrast,plant-based items were relatively safe except paratha,dal-puri,rooti chapati,and *** common pathogenic bacterial species were screened by analyzing their morphological,cultural,and biochemical *** coli was prevalent in most samples,while Salmonella species were least reported.A considerable number of samples exhibited enough microbial loads at infection or intoxication levels.

关键词： Frozen food Foodborne pathogens Dhaka city Microbiological quality Aerobic plate count

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Seasonal changes of bioelements in litter and their potential return to green leaves in five species of tropical dry deciduous forest, western India

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Journal of Forestry Research 2010年第1期21卷 33-38,I0002页

作者： J. I. nirmal Kumar Rita N Kumar Rohit Kumar Bhoi kanti Patel Post Graduate Department of Environmental Science and Technology Institute of Science and Technology for Advanced Studies and Research (ISTAR)Vallabh Vidyanagar 388 120 Gujarat India Department of Bioscience and Environmental Science N.V. Patel college of Pure and Applied SciencesVallabh Vidyanagar-388 120 Gujarat India

The Litter nutrient concentrations of N, P, Ca, Mg, K and Na in mature leaves, twigs and reproductive parts and their relationship between senescent and young leaves were investigated in five forest species： Acacia nilotica, Acacia leucophloea. Tectona grandis, Miliusa tomentosa and Butea monosperma in Indian tropical dry deciduous forest in Western India.. Total dry matter of plant species was recorded and analyzed for N, P, Ca, Mg, K and Na. A. nilotica had the highest concentrations of N in leaf, while ,4. leucophloea had the highest concentrations of Ca and Mg in leaf. The highest concentrations of P in leaf were found in A. nilotica, A. leucophloea and B. monosperma where as lowest in T. grandis and M. tomentosa. No significant differences in K and Na were registered among the species. A marked seasonal variability was ob- served in the concentrations of N, P and K, except for Ca and Mg. Potas- sium is the single element that undergoes leaching and mobilization in all species. Resorped N and P can be used for the production of fresh leaf in the following annual cycle. Nutrient resorption and retranslocation from senescent leaves and litter supports the production of new foliage and increase the fertility of soil.

关键词： Tropical dry deciduous forest nutrient concentration senescent and fresh leaves nutrient return nutrient resorption efficiency

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