Fuzzy spaces are obtained by quantizing adjoint orbits of compact semi-simple Lie groups. Fuzzy spheres emerge from quantizing S and are associated with the group SU(2) in this manner. They are useful for regularizing quantum field theories and modeling spacetimes by non-commutative manifolds. We show that fuzzy spaces are Hopf algebras and in fact have more structure than the latter. They are ...

Abstract: In this paper, we compute number of fuzzy subgroups of some dihedral groups such as D2pn where p is a prime number and D2p1×p2×···×pn where p1, p2, ..., pn are distinct prime numbers. We use their chain diagram to determine the number of their fuzzy subgroups and present an explicit recursive formula to D2pn and at the result in specially case D2n and finally a formula to count number...

In this paper, we count the number of fuzzy subgroups of cyclic group G = Zp × Zq × Zr × Zs with p, q, r, s are distinct prime numbers. We define an equivalence relation on the fuzzy subgroups of any groups G and determine all of its subgroups. Then we draw the diagram of lattice subgroups of G. The number of fuzzy subgroups of G by observing the diagram then will be counted. Mathematics Subjec...

BACKGROUND Fuzzy logic, a mathematical approach, defines the percentage of desirability for recommended amount of food groups and describes the range of intakes, from deficiency to excess. OBJECTIVES The purpose of this research was to find the best fuzzy dietary pattern that constraints energy and nutrients by the iterative algorithm. MATERIALS AND METHODS An index is derived that reflects...

The last few decades have witnessed rapid progress in the field of type-2 fuzzy systems and in particular interval type-2 fuzzy systems. Encouraged by this progress, we present in this paper some theoretical foundations and applications of interval-valued fuzzy morphological associative memories (IV-FMAMs) as a rule-based system. We perform simulations concerning the application of IV-FMAMs to ...

In this paper we explore the applicability of Fuzzy C-Means clustering technique to student allocation problem that allocates new students to homogenous groups of specified maximum capacity, and analyze effects of such allocations on the academic performance of students. This paper also presents a Fuzzy set and Regression analysis based rules based Fuzzy Expert System model which is capable of ...

In this paper a total of 16 variables, which are most influential on surface roughness in grinding, are considered. The variables are classified into three groups depending on their significance and effect on surface roughness. A three-layer fuzzy model is used to correlate these variables to surface roughness using the fuzzy rules generated based on experimental observations and recommendation...