The main objective of this work is to generalize the concept of fuzzy algebra by introducing the notion of fuzzy algebra. Characterization and examples of the proposed generalization are presented, as well as several different properties of fuzzy algebra are proven. Furthermore, the relationship between fuzzy algebra and fuzzy algebra is studied, where it is shown that the fuzzy algebra is a generalization of fuzzy algebra too. In addition, the notion of restriction, as an important property in the study of measure theory, is studied as well. Many properties of restriction of a nonempty family of fuzzy subsets of fuzzy power set are investigated and it is shown that the restriction of fuzzy algebra is fuzzy algebra too.
In this paper, a new class of sets, namely ï¡- semi-regular closed sets is introduced and studied for topological spaces. This class properly contains the class of semi-ï¡-closed sets and is property contained in the class of pre-semi-closed sets. Also, we introduce and study ï¡srcontinuity and ï¡sr-irresoleteness. We showed that ï¡sr-continuity falls strictly in between semi-ï¡- continuity and pre-semi-continuity.
In this research, a Co-polymer (Styrene / Allyl-2.3.4.6-tetra-O-acetyl-β-D-glucopyranoside) was synthesized from glucose in four steps using Addition Polymerization according to the radical mechanism using Benzoyl Peroxide (BP) as initiator. Initially, Allyl-2.3.4.6-tetra-O-acetyl-β-D-glucopyranoside monomer was prepared in three steps and the reaction was followed by (HPLC, FT-IR, TLC), in the fourth step the monomer was polymerized with Styrene and the structure was determined by FT-IR and NMR spectroscopy. The reaction conditions (temperature, reaction time, material ratios) were also studied to obtain the highest yield, the relative, specific and reduced viscosity of the prepared polymer was determined, from which the viscosity ave
... Show MoreThe grapheme Flakes were prepared by reduction graphite oxide which was prepared by Hummer’s method. X-ray diffraction (XRD) pattern showed that the graphene oxide have a sharp peak at (001) with d-spacing d001= 7.4Å at angle 2ϴ=11.85˚and graphene has broad peak at (002) with d-spacing d002=3.4Å at angle 2ϴ= 25.72˚ with lattice constant (a=2.47 Å). The particle size was calculated by using equation Debye - Scherer and Williamson - Hall equations, Scanning electron microscopy examination and particle size analyzer proved that the graphene Flakes were in nano size. Also the surface area of nanoparticles showed a value 270 m2/g . The micrographs of (scanning electron microscopy) showed that graphene oxide has a fluffy aggregation a
... Show MoreThis investigation was carried out to examine the Processing and effect of addition of different spices on the sensory and microbial properties of the Crispy Chicken . The results revealed than that of treatments 1 (without spices control) , 3 (anise ) , 4 (Thyme) , 5 (curry) , 6 (black Pepper) , 7 ( ginger) and 10 ( garlic ) gined higher score of overall acceptance than treatment 8 ( carnation ) . Did not significant difference of overall acceptance , between treatments 1 , 2 ( black seed ) , 3 , 4 , 5 , 6 , 7 , 9 ( onion ) and 10 and between treatments 2 , 8 and 9 . In regards with microbial tests showed aerobic bacteria highest numbers than adding 2, which amounted to more than 300 the unit cell bacterial cfu / ml and less numbers tha
... Show MoreThe purpose of this paper is to study new types of open sets in bitopological spaces. We shall introduce the concepts of L- pre-open and L-semi-p-open sets
In this paper, we introduce and study the essential and closed fuzzy submodules of a fuzzy module X as a generalization of the notions of essential and closed submodules. We prove many basic properties of both concepts.
In this paper we introduce new class of open sets called weak N-open sets and we study the relation between N-open sets , weak N-open sets and some other open sets. We prove several results about them.
In this work, two different structures are proposed which is fuzzy real normed space (FRNS) and fuzzy real Pre-Hilbert space (FRPHS). The basic concept of fuzzy norm on a real linear space is first presented to construct space, which is a FRNS with some modification of the definition introduced by G. Rano and T. Bag. The structure of fuzzy real Pre-Hilbert space (FRPHS) is then presented which is based on the structure of FRNS. Then, some of the properties and related concepts for the suggested space FRN such as -neighborhood, closure of the set named , the necessary condition for separable, fuzzy linear manifold (FLM) are discussed. The definition for a fuzzy seminorm on is also introduced with the prove that a fuzzy seminorm on
... Show MoreBy use the notions pre-g-closedness and pre-g-openness we have generalized a class of separation axioms in topological spaces. In particular, we presented in this paper new types of regulαrities, which we named ρgregulαrity and Sρgregulαrity. Many results and properties of both types have been investigated and have illustrated by examples.
In this paper, the concept of fully stable Banach Algebra modules relative to an ideal has been introduced. Let A be an algebra, X is called fully stable Banach A-module relative to ideal K of A, if for every submodule Y of X and for each multiplier ?:Y?X such that ?(Y)?Y+KX. Their properties and other characterizations for this concept have been studied.