By W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral

ISBN-10: 1931233985

ISBN-13: 9781931233989

This booklet offers a few new varieties of Fuzzy and Neutrosophic types that can study difficulties in a innovative method. the recent notions of bigraphs, bimatrices and their generalizations are used to construct those versions in an effort to be beneficial to research time established difficulties or difficulties which want stage-by-stage comparability of greater than specialists. The types expressed the following could be regarded as generalizations of Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps.

Show description

Read or Download Applications of Bimatrices to Some Fuzzy and Neutrosophic Models PDF

Similar kindle ebooks books

Buried Cities, Volume 1 - Pompeii - download pdf or read online

This publication used to be switched over from its actual variation to the electronic structure via a neighborhood of volunteers. you could locate it at no cost on the net. buy of the Kindle variation comprises instant supply.

Download e-book for kindle: PCI DSS: A practical guide to implementing and maintaining by Steve Wright

The check Card information safeguard ordinary (PCI DSS) has to be met via all corporations (merchants and repair services) that transmit, approach or shop check card facts. it's a contractual legal responsibility utilized and enforced - by way of fines or different regulations - without delay through the money prone themselves.

Read e-book online Putt's Law & the Successful Technocrat: How to Win in the PDF

"Technology is ruled by way of different types of humans: those that comprehend what they don't deal with, and people who deal with what they don't comprehend. " —Putt's legislations Early compliment for Putt's legislation and the winning Technocrat: "This is administration writing how it must be. imagine Dilbert, yet with a really sizeable mind.

Read e-book online Fundamentals of reliability engineering : applications in PDF

This e-book provides basics of reliability engineering with its purposes in comparing reliability of multistage interconnection networks. within the first a part of the ebook, it introduces the idea that of reliability engineering, components of likelihood thought, chance distributions, availability and knowledge research.

Extra resources for Applications of Bimatrices to Some Fuzzy and Neutrosophic Models

Example text

9 The two separate graphs are as follows. 9b This bigraph has three vertices in common. e. v1 = v'1, v3 = v'4 and v5 = v'3 but this bigraph has no edge in common. Hence the claim of the theorem. Now it is still interesting to note the following result. 2: A bigraph glued by even more than two vertices need not in general be glued by an edge. Proof: This result is proved by the following example. 10: Consider the bigraph G = G1 ∪ G2 given by the following figure. 10 That is 32 G1 = {v1, v 2, v 3, v 4} and G2 = {v'1, v'2, v'3, v'4, v'5, v'6, v'7,v'8}.

It is very interesting to note all bigraphs which are disjoint bigraphs are trivially separable bigraphs. Further all bigraphs glued by a vertex or single vertex glued bigraphs are separable. 6: Let G = G1 ∪ G2 which is a single vertex glued bigraph G is separable. Proof: Given G = G1 ∪ G2 is a bigraph which is a single vertex glued bigraph say let them be glued by the vertex vj = v'1 by removing that vertex, the bigraph becomes the separable bigraph. 12: A bigraph G = G1 ∪ G2 is connected if there is at least one path between every pair of vertices in G other wise G is disconnected.

G = G1 ∪ G2. 19 G = G1 ∪ G2 is a vertex glued bigraph. The vertex u2 and u'1 are glued. Clearly G1 is 3-regular and G2 is 4 regular. G = 46 G1 ∪ G2 is such that it has only one vertex u'1 = u2 in common and degree of u'1 = u2 is 5. So G is a 5-biregular bigraph. The notion of isolated vertex of the bigraph G = G1 ∪ G2 and pendent vertex of G can be defined as in case of graphs. The following example will illustrate the isolated vertex and pendent vertex of the bigraph G = G1 ∪ G2. 20. 20 G1 = {u1, u2, …, u7}.

Download PDF sample

Applications of Bimatrices to Some Fuzzy and Neutrosophic Models by W. B. Vasantha Kandasamy, Florentin Smarandache, K. Ilanthenral


by Robert
4.2

Rated 4.53 of 5 – based on 27 votes