Smarandache fuzzy strong ideal and smarandache fuzzy n. We observe, that the smarandache linear algebra can be constructed only using the smarandache vector space of type ii. This book has seven chapters, which are divided into two parts. I have seen him publishing in both arxiv and vixra with some other recognised experts and authors in some fields such fuzzy logic and intuitionistic logic, but his papers appear to be vaguely writing without a clear structure and they are hard to understand. The author studies the smarandache fuzzy algebra, which, like its predecessor fuzzy algebra, arose from the need to define structures that were more compatible with the real world where the grey areas mattered, not only black or white. In this book, we study the subject of smarandache fuzzy algebra. A necessary and sufficient condition for an s\\alpha. In this paper we introduce the notion of q smarandache fuzzy commutative ideal and q smarandache fuzzy subcommutative ideal of a q smarandache bh algebra. This site is like a library, use search box in the widget to get ebook that you want. Originally, the revolutionary theory of smarandache notions was born as a paradoxist movement that challenged the status quo of. Vasantha kandasamy, title smarandache fuzzy algebra, year 2003 share. Also, we study some properties of these fuzzy ideals. The extension of algebraic and analytical concepts to the theory of fuzzy sets appears to play a central role in the investigation of nondeterministic techniques.
Section two gives the basic notions in bilinear algebra and the final section gives the definition of fuzzy vector spaces. Vasantha kandasamy the author studies the smarandache fuzzy algebra, which, like its predecessor fuzzy algebra, arose from the need to define structures that were more compatible with the real world where the grey areas mattered, not only black or white. Click download or read online button to get some topics in fuzzy algebra book now. It is also proved that the set of all s\\alpha \ fuzzy cosets will form a semigroup under a suitable binary operation and its structure properties are determined. X, the algebra of the power set px of x, that is, of the set of crisp subsets of x, is usually. Algebra coding theory fuzzy models applications of algebra smarandache algebra.
Theorems and applications by hassan abid yasser ed. Bang 2 discussed some results on fuzzy subalgebras in balgebras. Finally, the notion of bistrong smarandache bl algebra. In any human field, a smarandache nstructure on a set s means a weak structure w0 on s such that there exists a chain of proper subsets pn1 in pn2 in. Finally we construct quotient of smarandache blalgebras via mv algebra and prove some. Fuzzy dot bckbcialgebras 1 introduction and preliminaries. Smarandache fuzzy bcialgebras sun shin ahn1 and young joo seo. Intech this book contains selected topics in linear algebra, which represent the recent contributions in the field. In its trajectory of stupendous growth, it has also come to include the theory of fuzzy algebra and for the past five decades, several researchers have been working on concepts like fuzzy semigroup, fuzzy groups, fuzzy rings, fuzzy ideals, fuzzy semirings, fuzzy. This book for the first time introduces the notion of special set linear algebra and special set fuzzy linear algebra. For more about these concepts, please refer 48, 60. Smarandache fuzzy algebra w b vasantha kandasamy pdf.
We will be providing unlimited waivers of publication charges for accepted articles related to covid19. It includes a range of theorems and applications in different branches of linear algebra, such as linear systems, matrices, operators, etc. This is an extension of the book set linear algebra and set fuzzy linear algebra. Then we study their connection of p fuzzy subalgebras with fuzzy. The notions of the neutrosophic hesitant fuzzy subalgebra and neutrosophic hesitant fuzzy filter in pseudobci algebras are introduced, and some properties and equivalent conditions are investigated.
Abbass introduced the notion of a q smarandache fuzzy closed ideal with respect to an element of a smarandache bch. Home package smarandache fuzzy algebra w b vasantha kandasamy pdf. The author studies the smarandache fuzzy algebra, which, like its predecessor fuzzy algebra, arose from the need to define structures that were more compatible with the real world where the grey. Vasantha kandasamy, florentin smarandache comments. Since its inception, the theory of fuzzy sets, ideal theory and its fuzzification has. Fuzzy logic and zadeh algebra paavo kukkurainen school of engineering science, lappeenranta university of technology, lappeenranta, finland abstract in this work we create a connection between afs axiomatic fuzzy sets fuzzy logic systems and zadeh algebra. Set linear algebra and set fuzzy linear algebra download. In this paper, we introduce the notion of bi smarandache bl algebra, biweak smarandache bl algebra, biq smarandache ideal and biq smarandache implicative filter, we obtain some related results and construct quotient of bi smarandache blalgebras via mvalgebras or briefly bi smarandache quotient bl algebra and prove some theorems. Smarandache fuzzy strong ideal and smarandache fuzzy nfold strong ideal of a bh algebra. Several researchers explored on the generalization of the notion of fuzzy sets in classes of algebras such as bccbckbcikualgebras, see 1.
Use of fuzzy neutrosophic models in the study of social problem or technical problem has become a demand for the day due to the involvement of indeterminacy. Search for library items search for lists search for contacts search for a library. After that by considering the notions of these ideals we determine relationships between ideals in bl algebra and q smarandache implicative ideals of bl algebra. The notions of a smarandache fuzzy subalgebra ideal of a smarandache bci algebra, a smarandache. In this paper we define the smarandache bl algebra, q smarandache ideal and q smarandache implicative ideal, we obtain some related results. Fuzzy sets, fuzzy algebra, and fuzzy statistics ieee.
Smarandache fuzzy algebra w b vasantha kandasamy pdf al. For always one is not in the position to say true or false, or assign a fuzzy value to any problem. Since an exact description of any real physical situation is virtually impossbile, it is necessary to develop schemes which. If you couldnt download the book then contact us on our email email protected. Fuzzy sets, fuzzy algebra, and fuzzy statistics abstract. We are committed to sharing findings related to covid19 as quickly and safely as possible. In 16, the authors applied the concept of fuzzy sets to closed ideals in b. Pdf neutrosophic hesitant fuzzy subalgebras and filters. The paper also provides an overview of the present state of the art of ftt. These algebraic structures basically exploit only the set theoretic property, hence in applications one.
We have used fuzzy cognitive maps and neutrosophic cognitive maps to analyze the views of the revolutionary periyar e. In its trajectory of stupendous growth, it has also come to include the theory of fuzzy algebra and for the past five decades, several researchers have been working on concepts like fuzzy semigroup, fuzzy groups, fuzzy rings, fuzzy ideals, fuzzy semirings, fuzzy nearrings and so on. In this paper, we define the concepts of a q smarandache nfold strong ideal and a q smarandache fuzzy strong, nfold strong ideal of a bh algebra. Fuzzy bsubalgebras of balgebra with respect to tnorm core. The reader is expected to be wellversed with a strong background in algebra, fuzzy algebra and smarandache algebraic notions. In 1991, xi 25 applied the concept of fuzzy sets to bci, bck, mv algebras. Beginning with simple concepts we construct fuzzy logic concepts. Click download or read online button to get fuzzy algebra book pdf book now.
Some topics in fuzzy algebra download ebook pdf, epub. Fuzzy algebra book pdf download ebook pdf, epub, tuebl, mobi. F 2d of all idempotent fuzzy subsets of a cancellative semigroup d forms a complete lattice results concerning the set f d of all fuzzy subsets of and its substructures f 1d and f. Pdf set linear algebra and set fuzzy linear algebra.1006 1278 1615 755 503 1487 244 408 471 1073 89 465 666 568 585 1574 226 1488 1377 1156 1146 1206 1538 345 1415 76 429 698 1620 607 705 1060 1190 1467 254 317 1153 245 1282 1146 513 1484