Linguistic Semilinear Algebras and Linguistic Semivector Spaces

Linguistic Semilinear Algebras and Linguistic Semivector Spaces PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 198

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Book Description
Algebraic structures on linguistic sets associated with a linguistic variable are introduced. The linguistics with single closed binary operations are only semigroups and monoids. We describe the new notion of linguistic semirings, linguistic semifields, linguistic semivector spaces and linguistic semilinear algebras defined over linguistic semifields. We also define algebraic structures on linguistic subsets of a linguistic set associated with a linguistic variable. We define the notion of linguistic subset semigroups, linguistic subset monoids and their respective substructures. We also define as in case of deals in classical semigroups, linguistic ideals in linguistic semigroups and linguistic monoids. This concept of linguistic ideals is extended to the case of linguistic subset semigroups and linguistic subset monoids. We also define linguistic substructures.

Linguistic Semilinear Algebras and Linguistic Semivector Spaces

Linguistic Semilinear Algebras and Linguistic Semivector Spaces PDF Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 198

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Book Description
Algebraic structures on linguistic sets associated with a linguistic variable are introduced. The linguistics with single closed binary operations are only semigroups and monoids. We describe the new notion of linguistic semirings, linguistic semifields, linguistic semivector spaces and linguistic semilinear algebras defined over linguistic semifields. We also define algebraic structures on linguistic subsets of a linguistic set associated with a linguistic variable. We define the notion of linguistic subset semigroups, linguistic subset monoids and their respective substructures. We also define as in case of deals in classical semigroups, linguistic ideals in linguistic semigroups and linguistic monoids. This concept of linguistic ideals is extended to the case of linguistic subset semigroups and linguistic subset monoids. We also define linguistic substructures.

Fuzzy Automata and Languages

Fuzzy Automata and Languages PDF Author: John N. Mordeson
Publisher: CRC Press
ISBN: 1420035649
Category : Computers
Languages : en
Pages : 577

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Book Description
Fuzzy Automata Theory offers the first in-depth treatment of the theory and mathematics of fuzzy automata and fuzzy languages. It effectively compares and contrasts the different approaches used in fuzzy mathematics and automata and includes complete proofs of the theoretical results presented. More than 60 figures and 125 examples illustrate the results, and exercises in each chapter serve not only to test understanding, but also to present material not covered in detail within the text. Although the book is theoretical in nature, the authors also discuss applications in a variety of fields, including databases, medicine, learning systems, and pattern recognition.

The Collected Works of P. A. M. Dirac: Volume 1

The Collected Works of P. A. M. Dirac: Volume 1 PDF Author: Paul Adrien Maurice Dirac
Publisher: Cambridge University Press
ISBN: 9780521362313
Category : Science
Languages : en
Pages : 1374

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Book Description
A comprehensive collection of the scientific papers of one of this century's most outstanding physicists.

Paul Dirac

Paul Dirac PDF Author: Abraham Pais
Publisher: Cambridge University Press
ISBN: 9780521019538
Category : Biography & Autobiography
Languages : en
Pages : 148

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Book Description
A unique insight into Dirac's life and work, by four internationally respected physicists.

Paul Adrien Maurice Dirac

Paul Adrien Maurice Dirac PDF Author: Behram N. Kursunoglu
Publisher: Cambridge University Press
ISBN: 9780521386883
Category : Biography & Autobiography
Languages : en
Pages : 320

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Book Description
Paul Dirac, who died in 1984, was without question one of the greatest physicists of the twentieth century. His revolutionary contribution to modern quantum theory is remembered for its insight and creativity. He is especially famous for his prediction of the magnetic moment and spin of the electron and for the existence of antiparticles. He was awarded the Nobel Prize for physics in 1933 at the age of 31. In this memorial volume, 24 of Dirac's friends, colleagues and contemporaries remember him with affection. There are chapters describing Dirac's personality, and many anecdotes about the man with a reputation for silence. Other chapters describe Dirac's science and its impact on modern physics.

Indeterminate Likert scale: feedback based on neutrosophy, its distance measures and clustering algorithm

Indeterminate Likert scale: feedback based on neutrosophy, its distance measures and clustering algorithm PDF Author: Ilanthenral Kandasamy
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10

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Book Description
Likert scale is the most widely used psychometric scale for obtaining feedback. The major disadvantage of Likert scale is information distortion and information loss problem that arise due to its ordinal nature and closed format. Real-world responses are mostly inconsistent, imprecise and indeterminate depending on the customers’ emotions. To capture the responses realistically, the concept of neutrosophy (study of neutralities and indeterminacy) is used. Indeterminate Likert scale based on neutrosophy is introduced in this paper. Clustering according to customer feedback is an effectiveway of classifying customers and targeting them accordingly. Clustering algorithm for feedback obtained using indeterminate Likert scaling is proposed in this paper. While dealing real-world scenarios, indeterminate Likert scaling is better in capturing the responses accurately.

Dirac

Dirac PDF Author: Helge Kragh
Publisher: Cambridge University Press
ISBN: 9780521380898
Category : Biography & Autobiography
Languages : en
Pages : 404

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Book Description
The first full length biography of Dirac, one of the most brilliant physicists of the twentieth century.

Aspects of Quantum Theory

Aspects of Quantum Theory PDF Author: Paul Adrien Maurice Dirac
Publisher: Cambridge University Press
ISBN: 0521086000
Category : Science
Languages : en
Pages : 290

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Book Description
These twelve articles discuss aspects of quantum mechanics that owe their origin to the work of P. A. M. Dirac.

Schrödinger

Schrödinger PDF Author: C. W. Kilmister
Publisher: Cambridge University Press
ISBN: 9780521379298
Category : Biography & Autobiography
Languages : en
Pages : 294

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Book Description
In this volume, prepared in 1987 to celebrate the centenary of Schrödinger's birth, leading figures have collaborated to produce this survey of the man and his science.

Neutrosophic Sets in Decision Analysis and Operations Research

Neutrosophic Sets in Decision Analysis and Operations Research PDF Author: Abdel-Basset, Mohamed
Publisher: IGI Global
ISBN: 1799825574
Category : Computers
Languages : en
Pages : 470

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Book Description
In information technology, the concepts of cost, time, delivery, space, quality, durability, and price have gained greater importance in solving managerial decision-making problems in supply chain models, transportation problems, and inventory control problems. Moreover, competition is becoming tougher in imprecise environments. Neutrosophic sets and logic are gaining significant attention in solving real-life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. Neutrosophic Sets in Decision Analysis and Operations Research is a critical, scholarly publication that examines various aspects of organizational research through mathematical equations and algorithms and presents neutrosophic theories and their applications in various optimization fields. Featuring a wide range of topics such as information retrieval, decision making, and matrices, this book is ideal for engineers, technicians, designers, mathematicians, practitioners of mathematics in economy and technology, scientists, academicians, professionals, managers, researchers, and students.