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m−Polar Fuzzy Graphs

Theory, Methods & Applications

by Muhammad Akram ...

Series series Intelligent Technologies and Robotics (R0)
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 ... Read more

$115.99 CAD

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
... Read more
Multiple Criteria Decision Making Methods with Multi-polar Fuzzy Information

Algorithms and Applications

by Muhammad Akram, Arooj Adeel ...

Series series Intelligent Technologies and Robotics (R0)
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 ... Read more

$204.99 CAD

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
... Read more
Fuzzy Lie Algebras

by Muhammad Akram ...

Series series Mathematics and Statistics (R0)
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 ... Read more

$140.99 CAD

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
... Read more
Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets

by Muhammad Akram, Shumaiza, José Carlos Rodríguez Alcantud ...

Series series Mathematics and Statistics (R0)
This monograph discusses the theoretical and practical development of multicriteria decision making (MCDM). The main purpose of MCDM is the construction of systematized strategies for the "optimisation" of feasible options, as well as the justification of why some alternatives can be declared "optimal". However, at time, we must make decisions in an uncertain environment and such inconvenience ... Read more

$192.99 CAD

This monograph discusses the theoretical and practical development of multicriteria decision making (MCDM). The main purpose of MCDM is the construction of systematized strategies for the "optimisation" of feasible options, as well as the justification of why some alternatives can be declared "optimal". However, at time, we must make decisions in an uncertain environment and such inconvenience
... Read more
Graphs for the Analysis of Bipolar Fuzzy Information

by Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek ...

Series series Engineering (R0)
This monograph discusses decision making methods under bipolar fuzzy graphical models with the aim of overcoming the lack of mathematical approach towards bipolar information—positive and negative. It investigates the properties of bipolar fuzzy graphs, their distance functions, and concept of their isomorphism. It presents certain notions, including irregular bipolar fuzzy graphs, domination in ... Read more

$115.99 CAD

This monograph discusses decision making methods under bipolar fuzzy graphical models with the aim of overcoming the lack of mathematical approach towards bipolar information—positive and negative. It investigates the properties of bipolar fuzzy graphs, their distance functions, and concept of their isomorphism. It presents certain notions, including irregular bipolar fuzzy graphs, domination in
... Read more
Hybrid Soft Computing Models Applied to Graph Theory

by Muhammad Akram, Fariha Zafar ...

Series series Intelligent Technologies and Robotics (R0)
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 ... Read more

$166.99 CAD

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
... Read more
Single-Valued Neutrosophic Graphs

by Muhammad Akram ...

Series series Mathematics and Statistics (R0)
This book addresses single-valued neutrosophic graphs and their applications. In addition, it introduces readers to a number of central concepts, including certain types of single-valued neutrosophic graphs, energy of single-valued neutrosophic graphs, bipolar single-valued neutrosophic planar graphs, isomorphism of intuitionistic single-valued neutrosophic soft graphs, and single-valued ... Read more

$128.99 CAD

This book addresses single-valued neutrosophic graphs and their applications. In addition, it introduces readers to a number of central concepts, including certain types of single-valued neutrosophic graphs, energy of single-valued neutrosophic graphs, bipolar single-valued neutrosophic planar graphs, isomorphism of intuitionistic single-valued neutrosophic soft graphs, and single-valued
... Read more
Fuzzy Hypergraphs and Related Extensions

by Muhammad Akram, Anam Luqman ...

Series series Engineering (R0)
This book presents the fundamental and technical concepts of fuzzy hypergraphs and explains their extensions and applications. It discusses applied generalized mathematical models of hypergraphs, including complex, intuitionistic, bipolar, m-polar fuzzy, Pythagorean, complex Pythagorean, and q-rung orthopair hypergraphs, as well as single-valued neutrosophic, complex neutrosophic and bipolar ... Read more

$64.99 CAD

This book presents the fundamental and technical concepts of fuzzy hypergraphs and explains their extensions and applications. It discusses applied generalized mathematical models of hypergraphs, including complex, intuitionistic, bipolar, m-polar fuzzy, Pythagorean, complex Pythagorean, and q-rung orthopair hypergraphs, as well as single-valued neutrosophic, complex neutrosophic and bipolar
... Read more
An Introduction to Matrix Methods of Structural Analysis

by Muhammad Akram Tahir, Worsak Kanok-Nukulchai ...

This textbook provides a comprehensive introduction to matrix methods of structural analysis, framed within a discrete modeling approach that is well-suited for digital computation. Two principal procedures—namely, the Matrix Force Method and the Matrix Displacement Method—are thoroughly illustrated for one-dimensional structural systems. Among them, the Matrix Displacement Method is more widely ... Read more

$285.99 CAD

This textbook provides a comprehensive introduction to matrix methods of structural analysis, framed within a discrete modeling approach that is well-suited for digital computation. Two principal procedures—namely, the Matrix Force Method and the Matrix Displacement Method—are thoroughly illustrated for one-dimensional structural systems. Among them, the Matrix Displacement Method is more widely
... Read more
An Introduction to Islamic Economics

by Muhammad Akram Khan ...

A Transformative Vision for Economic JusticeIn An Introduction to Islamic Economics, Dr. Muhammad Akram Khan presents a comprehensive alternative to the economic systems that have shaped—and troubled—the modern world. At a time when conventional economics struggles with persistent crises of unemployment, inequality, and environmental degradation, this groundbreaking work offers substantive ... Read more

$8.99 CAD or Free with Kobo Plus

A Transformative Vision for Economic JusticeIn An Introduction to Islamic Economics, Dr. Muhammad Akram Khan presents a comprehensive alternative to the economic systems that have shaped—and troubled—the modern world. At a time when conventional economics struggles with persistent crises of unemployment, inequality, and environmental degradation, this groundbreaking work offers substantive
... Read more
Wetland Plants

A Source of Nutrition and Ethno-medicines

by Maryam Akram Butt, Muhammad Zafar, Mushtaq Ahmed, Shabnum Shaheen, Shazia Sultana ...

Series series Biomedical and Life Sciences (R0)
Due to their high nutritive value and the presence of secondary metabolites, wetland plants can be consumed by humans as food and utilized as medicinal drugs. Significant numbers of ethno-botanic resources have been reported to extract useful compounds, which can be used as pharmaceuticals. Wetland plants are also very valuable as an energy source, as fuel for fish smoking and for domestic energy. ... Read more

$204.99 CAD

Due to their high nutritive value and the presence of secondary metabolites, wetland plants can be consumed by humans as food and utilized as medicinal drugs. Significant numbers of ethno-botanic resources have been reported to extract useful compounds, which can be used as pharmaceuticals. Wetland plants are also very valuable as an energy source, as fuel for fish smoking and for domestic energy.
... Read more
Bioactive Compounds in Edible Mushrooms

Sustainability and Health Applications

Edited by Sylvester Chibueze Izah, Matthew Chidozie Ogwu, Muhammad Akram ...

Series series Reference Module Chemistry, Materials and Physics
This handbook offers a comprehensive perspective of edible mushrooms' phytochemistry and explores the application of bioactive compounds from fungi in nutrition, medicine, and environmental sustainability. The book starts with an overview of edible mushrooms' bioactive compounds, followed by 5 parts covering the diversity, classification and taxonomy of common edible mushrooms, their environmental ... Read more

$768.99 CAD

This handbook offers a comprehensive perspective of edible mushrooms' phytochemistry and explores the application of bioactive compounds from fungi in nutrition, medicine, and environmental sustainability. The book starts with an overview of edible mushrooms' bioactive compounds, followed by 5 parts covering the diversity, classification and taxonomy of common edible mushrooms, their environmental
... Read more

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m−Polar Fuzzy Graphs

Multiple Criteria Decision Making Methods with Multi-polar Fuzzy Information

Fuzzy Lie Algebras

Multi-criteria Decision Making Methods with Bipolar Fuzzy Sets

Graphs for the Analysis of Bipolar Fuzzy Information

Hybrid Soft Computing Models Applied to Graph Theory

Single-Valued Neutrosophic Graphs

Fuzzy Hypergraphs and Related Extensions

An Introduction to Matrix Methods of Structural Analysis

An Introduction to Islamic Economics

Wetland Plants

Bioactive Compounds in Edible Mushrooms

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Top Series in Canada

Reference Module Biomedical and Life Sciences

Engineering (R0)

Reference Module Chemistry, Materials and Physics

Mathematics and Statistics (R0)

Metal Oxides

Biomedical and Life Sciences (R0)

Intelligent Technologies and Robotics (R0)

Routledge International Studies in Money and Banking

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