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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation
Neutrosophic graphs are employed as a mathematical key to hold an imprecise and unspecified data. Vague sets gives more intuitive graphical notation of vague information, that delicates crucially better analysis in data relationships, incompleteness and similarity measures. In this paper, the neutrosophic vague line graphs are introduced. The necessary and sufficient condition for a line graph to be neutrosophic vague line graph is provided. Further, homomorphism, weak vertex and weak line isomorphism are discussed. The given results are illustrated with suitable example.
After developing fuzzy set theory, many contributors focused their research on the extension of fuzzy sets and their computational methodologies, strengthening modern science and technology. In some real-life phenomena, the conventional methods and traditional fuzzy sets cannot be explained, whereas the extension of fuzzy sets and effective new computing methods can explain it adequately. This edited book presents a new view of fuzzy set-measurement methods entitled "Fuzzy Optimization, Decision Making and Operations Research: Theory and Applications", which deals with different perspectives and areas of research. All chapters are divided into three parts: fuzzy optimization, fuzzy decision-...
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Book Summary Table of Contents Volume 1st Foreword v Preface ix The Sadarat : Origin and Development 1 Foundation of Sadarat in India 33 I. The Ilbari Turks 76 II. The Khaljis 137 III. The Qaraunah Turks 183 IV. The Sayyids 273 V. The Lodhis 285 VI. The Surs 308 Abbreviations and Bibliography 324 Index 336 Foreword The administrative machinery of the Delhi Sultanate was run mainly by three ministries—the Diwan-i-Wizarat, the Diwan-i-’Arz and the Diwan-i-Risalat. While some work has been done on the first two, an in-depth study of the Diwan-i-Risalat–which dealt with religious matters, stipends and pious foundations—has largely remained a desideratum. Mr. A. D. Khan’s work goes a lo...
Volume 2nd Abbreviations viii Preface ix I. Introductory 1 II. Akbar 21 III. Jahangir 90 IV. Shah Jahan 108 IV. Aurangzeb 120 V. Conclusion 150 Bibliography 154 Bibliography of Volume i 162 Index 174 Index of Volume I 176 Book Summary Foreword The administrative machinery of the Delhi Sultanate was run mainly by three ministries—the Diwan-i-Wizarat, the Diwan-i-’Arz and the Diwan-i-Risalat. While some work has been done on the first two, an in-depth study of the Diwan-i-Risalat–which dealt with religious matters, stipends and pious foundations—has largely remained a desideratum. Mr. A. D. Khan’s work goes a long way in filling this gap in our historical literature. With his extensi...
In this book, Dr Sarah Ansari examines the system of political control constructed by the British in Sind between 1843 and 1947. In particular, she explores the part of the local Muslim elite, the pirs or hereditary sufi saints. Using a wealth of historical material and in depth interviews, the author looks at the development of the institution of the pir, its power base and the mechanics of the system of control into which the pirs were drawn. The overall success of the political system depended on the willingness of the elite to participate and Dr Ansari argues that it did indeed work in Sind. This enabled the British to govern while allowing the pirs to adapt to colonial rule, and later independence, without serious damage to their interests. The author demonstrates that only in the heightened nationalist atmosphere of the 1940s did the system break down.
Seema Alavi challenges the idea that all pan-Islamic configurations are anti-Western or pro-Caliphate. A pan-Islamic intellectual network at the cusp of the British and Ottoman empires became the basis of a global Muslim sensibility—a political and cultural affiliation that competes with ideas of nationhood today as it did in the last century.