Titlebook: Recent Developments of Fuzzy Matrix Theory and Applications; Madhumangal Pal Book 2024 The Editor(s) (if applicable) and The Author(s), un

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s to fuzzy matrix theory and several extensions of this theo.This book provides a comprehensive overview of the development of fuzzy matrix theory from its inception to its current state. It covers various types of fuzzy matrices, such as intuitionistic fuzzy matrices, interval-valued fuzzy matrices

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Book 2024s of fuzzy matrices, such as intuitionistic fuzzy matrices, interval-valued fuzzy matrices, interval-valued intuitionistic fuzzy matrices, bipolar fuzzy matrices, picture fuzzy matrices, neutrosophic fuzzy matrices, m-polar fuzzy matrices and similar one. Drawing primarily from the author‘s research

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-Polar Fuzzy Matrices,set is different from other sets. Sometimes the difference is large and sometimes it is less. In a fuzzy set, each element is associated with only one parameter called membership value, and in all other sets, each member is associated with more than one parameter. For example, IFS has two parameters, and PFS has three parameters.

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elopments in the fundamental understanding of complex surfacThin?lmdepositionisthemostubiquitousandcriticaloftheprocessesusedto manufacture high-tech devices such as microprocessors, memories, solar cells, microelectromechanicalsystems(MEMS),lasers,solid-statelighting,andp- tovoltaics. The morpholog

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Madhumangal Paloelectromechanicalsystems(MEMS),lasers,solid-statelighting,andp- tovoltaics. The morphology and microstructure of thin ?lms directly controls their optical, magnetic, and electrical properties, which are often signi?cantly di?erent from bulk material properties. Precise control of morphology and mic

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Madhumangal Palphylum Myriapoda. The most conspicuous synapomorphic character of centipedes is certainly the modification of the first pair of legs into powerful venomous forceps (the forcipules). The venom gland encased in each forcipule produces a potent cocktail of paralytic toxins delivered into prey and oppon

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Madhumangal Palsps use venom to manipulate the metabolism, development, and behavior of other arthropods for reproductive purposes. This provides a safe environment and nutrition for the next generation of wasps to feed and develop. Parasitoid wasp species diversity is estimated to be between 150,000 and 600,000 s

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