Neutrosophic Computing and Vague Data Analysis
暫譯: 中立計算與模糊數據分析

Smarandache, Florentin, Khan, Zahid

  • 出版商: CRC
  • 出版日期: 2026-07-08
  • 售價: $4,980
  • 貴賓價: 9.5$4,731
  • 語言: 英文
  • 頁數: 340
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1041162022
  • ISBN-13: 9781041162025
  • 相關分類: 機率統計學 Probability-and-statistics
  • 尚未上市,無法訂購

相關主題

商品描述

This edited volume provides a comprehensive exploration of neutrosophic methodologies, emphasizing their computational frameworks, theoretical advancements, and practical applications. Neutrosophic logic, originally developed to address problems involving vague, inconsistent, incomplete, or unclear information, has evolved significantly over the years. Its extensions have found relevance across diverse disciplines, offering innovative solutions to challenges in science, economics, environmental studies, healthcare, and more.

The book highlights the limitations of traditional mathematical and statistical models in handling the complexity and uncertainty inherent in modern systems. While existing frameworks have contributed to uncertainty modeling, they often fail to treat indeterminacy as a distinct and independent component of information. Neutrosophic theory addresses this gap, providing a robust foundation for analyzing and optimizing systems characterized by indeterminacy.

Key Features:

  • Computational Toolboxes: Practical tools for estimating unknown values, simulating results, and making decisions using neutrosophic models. These computational approaches enable practitioners to analyze systems that are too complex for traditional analytical methods.
  • Applications across Disciplines: Detailed examples and case studies demonstrating the use of neutrosophic models in science, engineering, medical diagnostics, environmental modeling, economics, and decision-making under uncertainty.
  • Accessibility and Adaptability: By focusing on computational approaches, the book aims to make neutrosophic theory more accessible and applicable to a wider audience, including researchers, practitioners, and students.

This volume serves as a valuable resource for anyone seeking to understand and apply neutrosophic logic to real-world scenarios. It bridges the gap between theoretical advancements and practical applications, empowering readers to tackle complex problems with innovative solutions grounded in neutrosophic methodologies.

商品描述(中文翻譯)

這本編輯的專著提供了對中立邏輯方法論的全面探索,強調其計算框架、理論進展和實際應用。中立邏輯最初是為了解決涉及模糊、不一致、不完整或不清晰信息的問題而發展的,這些年來已經顯著演變。其擴展在各個學科中找到了相關性,為科學、經濟學、環境研究、醫療保健等領域的挑戰提供了創新的解決方案。

本書突顯了傳統數學和統計模型在處理現代系統固有的複雜性和不確定性方面的局限性。雖然現有框架對不確定性建模有所貢獻,但它們往往未能將不確定性視為信息的一個獨特且獨立的組成部分。中立理論填補了這一空白,為分析和優化以不確定性為特徵的系統提供了堅實的基礎。

**主要特點:**
- **計算工具箱**:實用工具,用於估算未知值、模擬結果和使用中立模型進行決策。這些計算方法使從業者能夠分析對傳統分析方法來說過於複雜的系統。
- **跨學科應用**:詳細的示例和案例研究,展示中立模型在科學、工程、醫療診斷、環境建模、經濟學和不確定性下的決策中的應用。
- **可及性和適應性**:通過專注於計算方法,本書旨在使中立理論對更廣泛的受眾(包括研究人員、從業者和學生)更具可及性和適用性。

本卷作為任何希望理解和應用中立邏輯於現實場景的人的寶貴資源。它彌合了理論進展與實際應用之間的鴻溝,使讀者能夠以基於中立方法論的創新解決方案來應對複雜問題。

作者簡介

Florentin Smarandache, PhD, PostDocs, is an Emeritus Professor of Mathematics at the University of New Mexico, United States. He earned his PhD in Mathematics from the State University of Kishinev, and Postdoctoral in Applied Mathematics from Okayama University of Sciences, Japan, and The Guangdong University of Technology, Guangzhou, China. He is the founder of neutrosophy (generalization of dialectics), neutrosophic set, logic, probability and statistics since 1995 and has published hundreds of papers and books on neutrosophic physics, superluminal and instantaneous physics, unmatter, quantum paradoxes, absolute theory of relativity, redshift and blueshift due to the medium gradient and refraction index besides the Doppler effect, paradoxism, outerart, neutrosophy as a new branch of philosophy, Law of Included Multiple-Middle, multispace and multistructure, HyperSoft set, TreeSoft Set, IndetermSoft Set and IndetermHyperSoft Set, SuperHyperGraph, SuperHyperTopology, SuperHyperAlgebra, SuperHyperFunction, Neutrosophic SuperHyperAlgebra, degree of dependence and independence between neutrosophic components, refined neutrosophic set, neutrosophic over-under-off-set, plithogenic set / logic / probability / statistics, symbolic plithogenic algebraic structures, neutrosophic triplet and duplet structures, quadruple neutrosophic structures, extension of algebraic structures to NeutroAlgebra and AntiAlgebra, NeutroGeometry and AntiGeometry, NeutroTopology and AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, Dezert-Smarandache Theory and so on in many peer-reviewed international journals publishers. Additionally he also presented papers and plenary lectures to many international conferences around the world.

Zahid Khan, PhD, is currently working as a scientific co-research fellow in the Department of Quantitative Methods at the University of Pannonia, Hungary. He holds a permanent position as an Associate Professor in the Department of Mathematics and Statistics at Hazara University, Pakistan. He earned his PhD from the University Technology PETRONAS, Malaysia, in 2017. His research interests encompass robust estimation in fuzzy probability distributions, neutrosophic statistics, and statistical methods for industrial process control. Dr. Khan received the Talent Award Scholarship from the Higher Education Commission of Pakistan in 2006, a fellowship from Quaid-i-Azam University in 2007, and another fellowship from University Technology PETRONAS in 2013.

作者簡介(中文翻譯)

Florentin Smarandache, PhD, PostDocs,是美國新墨西哥大學的名譽數學教授。他在基希涅夫州立大學獲得數學博士學位,並在日本岡山科學大學和中國廣東工業大學獲得應用數學的博士後研究。他自1995年以來創立了中立哲學(辯證法的概括)、中立集、邏輯、概率和統計,並在中立物理學、超光速和瞬時物理學、無物質、量子悖論、相對論的絕對理論、由於介質梯度和折射率造成的紅移和藍移(除了多普勒效應)、悖論主義、外藝術、中立哲學作為一個新哲學分支、包含多重中間法則、多空間和多結構、超軟集、樹軟集、不確定軟集和不確定超軟集、超超圖、超超拓撲、超超代數、超超函數、中立超超代數、中立組件之間的依賴和獨立程度、精煉中立集、中立超下偏集、plithogenic 集 / 邏輯 / 概率 / 統計、符號 plithogenic 代數結構、中立三元組和二元組結構、四元中立結構、代數結構的擴展到中立代數和反代數、中立幾何和反幾何、中立拓撲和反拓撲、精煉中立拓撲、精煉中立清晰拓撲、Dezert-Smarandache 理論等在許多同行評審的國際期刊上發表了數百篇論文和書籍。此外,他還在世界各地的許多國際會議上發表論文和全體講座。

Zahid Khan, PhD, 目前在匈牙利潘諾尼亞大學的定量方法系擔任科學共同研究員。他在巴基斯坦哈扎拉大學的數學與統計系擔任副教授的永久職位。他於2017年在馬來西亞的PETRONAS科技大學獲得博士學位。他的研究興趣包括模糊概率分佈中的穩健估計、中立統計學以及工業過程控制的統計方法。Khan博士於2006年獲得巴基斯坦高等教育委員會的天才獎學金,2007年獲得奎德-阿扎姆大學的獎學金,2013年獲得PETRONAS科技大學的另一項獎學金。