Smarandache fuzzy algebra w b vasantha kandasamy pdf al. We will be providing unlimited waivers of publication charges for accepted articles related to covid19. Smarandache fuzzy strong ideal and smarandache fuzzy n. 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. Some topics in fuzzy algebra download ebook pdf, epub. 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. Fuzzy bsubalgebras of balgebra with respect to tnorm core. We are committed to sharing findings related to covid19 as quickly and safely as possible. In this paper we define the smarandache bl algebra, q smarandache ideal and q smarandache implicative ideal, we obtain some related results. Theorems and applications by hassan abid yasser ed. 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.
Then we study their connection of p fuzzy subalgebras with fuzzy. It includes a range of theorems and applications in different branches of linear algebra, such as linear systems, matrices, operators, etc. We observe, that the smarandache linear algebra can be constructed only using the smarandache vector space of type ii. Beginning with simple concepts we construct fuzzy logic concepts. 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.
Fuzzy dot bckbcialgebras 1 introduction and preliminaries. 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. 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. The paper also provides an overview of the present state of the art of ftt. Pdf neutrosophic hesitant fuzzy subalgebras and filters. These algebraic structures basically exploit only the set theoretic property, hence in applications one. The notions of a smarandache fuzzy subalgebra ideal of a smarandache bci algebra, a smarandache.
This site is like a library, use search box in the widget to get ebook that you want. Section two gives the basic notions in bilinear algebra and the final section gives the definition of fuzzy vector spaces. Originally, the revolutionary theory of smarandache notions was born as a paradoxist movement that challenged the status quo of. 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. In 1991, xi 25 applied the concept of fuzzy sets to bci, bck, mv algebras. This is an extension of the book set linear algebra and set fuzzy linear algebra. Search for library items search for lists search for contacts search for a library. 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. In 16, the authors applied the concept of fuzzy sets to closed ideals in b. This book for the first time introduces the notion of special set linear algebra and special set fuzzy linear algebra. 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.
Set linear algebra and set fuzzy linear algebra download. The smarandache linear algebra, is defined to be a smarandache vector space of type ii, on which there is an additional operation called product, such that for all a, b in v, ab in v. Bang 2 discussed some results on fuzzy subalgebras in balgebras. Fuzzy sets, fuzzy algebra, and fuzzy statistics abstract. Intech this book contains selected topics in linear algebra, which represent the recent contributions in the field. Namdar, introduced the notion of a smarandache bch algebra and q smarandache ideal of a smarandache bch algebra 1. If you couldnt download the book then contact us on our email email protected. Algebra coding theory fuzzy models applications of algebra smarandache algebra. The reader is expected to be wellversed with a strong background in algebra, fuzzy algebra and smarandache algebraic notions. In these six chapters, we have succeeded in introducing around 664 concepts related to smarandache fuzzy algebra. 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.
Since its inception, the theory of fuzzy sets, ideal theory and its fuzzification has. Also, we study some properties of these fuzzy ideals. Smarandache fuzzy algebra w b vasantha kandasamy pdf. Smarandache fuzzy strong ideal and smarandache fuzzy nfold strong ideal of a bh algebra. Click download or read online button to get fuzzy algebra book pdf book now. Click download or read online button to get some topics in fuzzy algebra book now. For always one is not in the position to say true or false, or assign a fuzzy value to any problem. Smarandache fuzzy bcialgebras sun shin ahn1 and young joo seo. Eqalgebrabased fuzzy type theory and its extensions irafm.
In this book, we study the subject of smarandache fuzzy algebra. 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. Vasantha kandasamy, title smarandache fuzzy algebra, year 2003 share. 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. Fuzzy and neutrosophic analysis of periyars views on. For the first time, the social problem of untouchability, which is peculiar to india, is being studied mathematically.
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. 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 reader is expected to have a good background both in algebra and in nearrings. X, the algebra of the power set px of x, that is, of the set of crisp subsets of x, is usually. Finally, the notion of bistrong smarandache bl algebra. Pdf set linear algebra and set fuzzy linear algebra. 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. Fuzzy algebra book pdf download ebook pdf, epub, tuebl, mobi. Several researchers explored on the generalization of the notion of fuzzy sets in classes of algebras such as bccbckbcikualgebras, see 1. We have used fuzzy cognitive maps and neutrosophic cognitive maps to analyze the views of the revolutionary periyar e.
Vasantha kandasamy, florentin smarandache comments. For more about these concepts, please refer 48, 60. Since an exact description of any real physical situation is virtually impossbile, it is necessary to develop schemes which. Fuzzy sets, fuzzy algebra, and fuzzy statistics ieee. Finally we construct quotient of smarandache blalgebras via mv algebra and prove some.