Florentin Smarandache

Sidra Sayed

Muhammad Akram

Nabeela Ishfaq

Rough set theory and neutrosophic set theory are mathematical models to deal with incomplete and vague information.

Decision-Making Approach Based on Neutrosophic Rough Information

Chukwuebuka Egbuna

Jonathan Chinenye Ifemeje

NEGLECTED TROPICAL DISEASES AND PHYTOCHEMICALS IN DRUG DISCOVERY Explore novel drug discovery updates from medicinal plants to help fight the devastating effects of neglected tropical diseases Neglected Tropical Diseases and Phytochemicals in Drug Discovery delivers a comprehensive exploration of the drug discovery process as it pertains to neglected tropical diseases. The book covers recent advancements in drug discovery, as well as druggable targets and new challenges facing the industry. It offers readers expansive discussions of specific diseases, including protozoan, helminth, bacterial, viral, fungal, and ectoparasitic infections. This book provides readers with insightful perspectives from leading industry voices on fifty years of trends and progress in the search for new, safe, and affordable therapeutic drugs in the fight against neglected tropical diseases. It includes information beneficial to researchers in a variety of fields of biology, chemistry, medicine, and pharmaceuticals. The distinguished authors cover topics including the effects of phytochemicals on the causative agent of leprosy and the potential applicability of phytochemicals in the management of Dengue fever. Readers will also enjoy the inclusion of: Thorough introductions to neglected tropical diseases, phytochemicals, protein targets, and mechanisms in drug discovery, as well as the epidemiology of neglected tropical diseases An exploration of novel bioactive lead compounds for drug discovery against neglected tropical diseases, leishmaniasis, lymphatic filariasis, trypanosomiasis, and schistosomiasis Discussions of protozoan infections, including herbal, nutritional, and traditional remedies for giardiasis and the anti-leishmanial potentials of phytochemicals Examinations of helminth infections, including the prospects of phytochemicals in the treatment of helminthiasis Perfect for medicinal chemists, drug developers, and research and development scientists, Neglected Tropical Diseases and Phytochemicals in Drug Discovery will also earn a place in the libraries of toxicologists and researchers in biology, chemistry, medicinal chemistry, ethnobotany, and bioinformatics seeking a one-stop resource for drug discovery for neglected tropical diseases.

Neglected Tropical Diseases and Phytochemicals in Drug Discovery

Arooj Adeel

This book presents an extension of fuzzy set theory allowing for multi-polar information, discussing its impact on the theoretical and practical development of multi-criteria decision making. It reports on set of hybrid models developed by the authors, and show how they can be adapted, case by case, to the lack of certainty under a variety of criteria. Among them, hybrid models combining m-polar fuzzy sets with rough, soft and 2-tuple linguistic sets, and m-polar hesitant fuzzy sets and hesitant m-polar fuzzy are presented, together with some significant applications. In turn, outranking decision-making techniques such as m-polar fuzzy ELECTRE I, II, III and IV methods, as well as m-polar fuzzy PROMETHEE I and II methods, are developed. The efficiency of these decision-making procedures, as well as other possible extensions studied by the authors, is shown in some real-world applications. Overall, this book offers a guide on methodologies to deal with the multi-polarity and fuzziness of the real-world problems, simultaneously. By including algorithms and computer programming codes, it provides a practice-oriented reference guide to both researchers and professionals working at the interface between computational intelligence and decision making.

Algorithms and Applications

Multiple Criteria Decision Making Methods with Multi-polar Fuzzy Information

This book provides readers with an introduction to m-polar fuzzy graphs and m-polar fuzzy hypergraphs, covering both theories and applications. A special emphasis is given to m-polar fuzzy graphs at the aim of filling a gap in the literature, namely the absence of a mathematical approach to analyze multi-index, multipolar, and multi-attribute data. The book describes metrics and labeling in m-polar graphs, m-polar fuzzy matroids. It also discusses in detail important applications in decision-making problems and imaging processing. The book is expected to stimulate the curiosity of mathematics, computer scientists, and social scientists alike, and to provide both students and researchers with the necessary knowledge to understand and apply m−polar fuzzy graph theory.

Theory, Methods & Applications

m−Polar Fuzzy Graphs

This book explores certain structures of fuzzy Lie algebras, fuzzy Lie superalgebras and fuzzy n-Lie algebras. In addition, it applies various concepts to Lie algebras and Lie superalgebras, including type-1 fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, vague sets and bipolar fuzzy sets. The book offers a valuable resource for students and researchers in mathematics, especially those interested in fuzzy Lie algebraic structures, as well as for other scientists. Divided into 10 chapters, the book begins with a concise review of fuzzy set theory, Lie algebras and Lie superalgebras. In turn, Chap. 2 discusses several properties of concepts like interval-valued fuzzy Lie ideals, characterizations of Noetherian Lie algebras, quotient Lie algebras via interval-valued fuzzy Lie ideals, and interval-valued fuzzy Lie superalgebras. Chaps. 3 and 4 focus on various concepts of fuzzy Lie algebras, while Chap. 5 presents the concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field. Chapter 6 is devoted to the properties of bipolar fuzzy Lie ideals, bipolar fuzzy Lie subsuperalgebras, bipolar fuzzy bracket product, solvable bipolar fuzzy Lie ideals and nilpotent bipolar fuzzy Lie ideals. Chap. 7 deals with the properties of m-polar fuzzy Lie subalgebras and m-polar fuzzy Lie ideals, while Chap. 8 addresses concepts like soft intersection Lie algebras and fuzzy soft Lie algebras. Chap. 9 deals with rough fuzzy Lie subalgebras and rough fuzzy Lie ideals, and lastly, Chap. 10 investigates certain properties of fuzzy subalgebras and ideals of n-ary Lie algebras.

Fuzzy Lie Algebras

 Muzzamal Sitara

In this research study, we present concept of intuitionistic neutrosophic graph structures. We introduce the certain operations on intuitionistic neutrosophic graph structures and elaborate them with suitable examples.

Application of intuitionistic neutrosophic graph structures in decision-making

Rabia Zahid

Olive Oil - New Perspectives and Applications is a collection of reviewed and relevant research chapters, offering a comprehensive overview of recent developments in the field of agricultural, medical, and biological sciences. The book comprises single chapters authored by various researchers and edited by an expert active in the olive oil research area. All chapters are complete in themselves but united under a common research study topic. This publication aims at providing a thorough overview of the latest research efforts by international authors on olive oil and opening new possible research paths for further novel developments.

New Perspectives and Applications

Olive Oil

Fariha Zafar

This book describes a set of hybrid fuzzy models showing how to use them to deal with incomplete and/or vague information in different kind of decision-making problems. Based on the authors’ research, it offers a concise introduction to important models, ranging from rough fuzzy digraphs and intuitionistic fuzzy rough models to bipolar fuzzy soft graphs and neutrosophic graphs, explaining how to construct them. For each method, applications to different multi-attribute, multi-criteria decision-making problems, are presented and discussed. The book, which addresses computer scientists, mathematicians, and social scientists, is intended as concise yet complete guide to basic tools for constructing hybrid intelligent models for dealing with some interesting real-world problems. It is also expected to stimulate readers’ creativity thus offering a source of inspiration for future research.

Hybrid Soft Computing Models Applied to Graph Theory

Anam Luqman

A complex neutrosophic set is a useful model to handle indeterminate situations with a periodic nature. This is characterized by truth, indeterminacy, and falsity degrees which are the combination of real-valued amplitude terms and complex-valued phase terms. Hypergraphs are objects that enable us to dig out invisible connections between the underlying structures of complex systems such as those leading to sustainable development. In this paper, we apply the most fruitful concept of complex neutrosophic sets to theory of hypergraphs. We define complex neutrosophic hypergraphs and discuss their certain properties including lower truncation, upper truncation, and transition levels. Furthermore, we define T-related complex neutrosophic hypergraphs and properties of minimal transversals of complex neutrosophic hypergraphs. Finally, we represent the modeling of certain social networks with intersecting communities through the score functions andchoice values of complex neutrosophic hypergraphs. We also give a brief comparison of our proposed model with other existing models.

Complex Neutrosophic Hypergraphs: New Social Network Models

Said Broumi

Hina Gulzar

In this research article, we apply the notion of single-valued neutrosophic sets to K-algebras. We introduce the notion of single-valued neutrosophic topological K-algebras and investigate some of their properties. Further, we study certain properties, including C5-connected, super connected, compact and Hausdorff, of single-valued neutrosophic topological K-algebras. We also investigate the image and pre-image of single-valued neutrosophic topological K-algebras under homomorphism.

Certain Notions of Neutrosophic Topological K-Algebras

Shumaiza

Technique for the order of preference by similarity to ideal solution (TOPSIS) and elimination and choice translating reality (ELECTRE) are widely used methods to solve multi-criteria decision making problems.

Decision-Making with Bipolar Neutrosophic TOPSIS and Bipolar Neutrosophic ELECTRE-I

Neutrosophic sets and soft sets are two different mathematical tools for representing vagueness and uncertainty.We apply these models in combination to study vagueness and uncertainty in K-algebras. We introduce the notion of single-valued neutrosophic soft (SNS) K-algebras and investigate some of their properties. We also illustrate the concepts with numerical examples.

Application of Neutrosophic Soft Sets to K-Algebras

 K. P. Shum

We apply the notion of single-valued neutrosophic sets to K-algebras. We develop the concept of single-valued neutrosophic K-subalgebras, and present some of their properties. Moreover, we study the behavior of single-valued neutrosophic K-subalgebras under homomorphism.

Muhammad Akram

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