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Ordered Polygroups
Get PDFIn this paper, those polygroups which are partially ordered are introduced and some properties and related results are given
The sum of the reduced harmonic series generated by four primes determined analytically and computed by using CAS Maple
Get PDFThe paper deals with the reduced harmonic series generated by four primes. A formula for the sum of these convergent reduced harmonic series is derived. These sums (concretely 42 from all 12650 sums generated by four different primes smaller than 100) are computed by using the computer algebra system Maple 15 and its programming language, although the formula is valid not only for four arbitrary primes, but also for four integers. We can say that the reduced harmonic series generated by four primes (or by four integers) belong to special types of convergent infinite series, such as geometric and telescoping series, which sum can be found analytically by means of a simple formula
Some properties of certain Subhypergroups
Get PDFThe structure of the hypergroup is much more complicated than that of the group. Thus there exist various kinds of subhypergroups.This paper deals with some of these subhypergroups and presents certain properties of the closed, invertible and ultra-closed subhypergroups
Optimal Control Policy of a Production and Inventory System for multi-product in Segmented Market
Get PDFIn this paper, we use market segmentation approach in multi-product inventory - production system with deteriorating items. The objective is to make use of optimal control theory to solve the production inventory problem and develop an optimal production policy that maximize the total profit associated with inventory and production rate in segmented market. First, we consider a single production and inventory problem with multi-destination demand that vary from segment to segment. Further, we described a single source production multi destination inventory and demand problem under the assumption that firm may choose independently the inventory directed to each segment. This problem has been discussed using numerical example
Some algebraic properties of fuzzy S-acts
Get PDFS-acts, a useful and important algebraic tool, have always been interest to mathematicians, specially to computer scientists. When A. Zadeh introduced the notion of the fuzzy subset in 1965, his idea opened a new direction to reserchers to provide tools in the various elds of mathematics. Here we are going to investigate some algebraic properties of fuzzy S-acts. We rst make an S-act from the fuzzy sub-sets of an S-act A. Then we use this tool to give a characterization for fuzzy S-acts. We then introduce the notion of generated fuzzy S-act by a fuzzy subset of an S-act and give a characterization for the fuzzy actions. And then we dene the notion of indecomposable fuzzy S-act and nd some indecomposable fuzzy actions
The Divisors’ Hyperoperations
Get PDFIn the set N of the Natural Numbers we define two hyperoperations based on the divisors of the addition and multiplication of two numbers. Then, the properties of these two hyperoperations are studied together with the resulting hyperstructures. Furthermore, from the coexistence of these two hyperoperations in N ∗ , an H v -ring is resulting which is dual
The LV-hyperstructures
Get PDFThe largest class of hyperstructures is the one which satisfy the weak properties and they are called H v -structures introduced in 1990. The H v(c)-structures have a partial order (poset) on which gradations can be defined. We introduce the LV-construction based on the Levels Variable
Fuzzy hyperalgebras and direct product
Get PDFWe introduce and study the direct product of a family of fuzzy hyperalgebras of the same type and present some properties of it.
Hypergroups and Geometric Spaces
Get PDFWe explain some links between hypergrpoups and geometric spaces. We show that for any given hypergroup it is possible to define a particular geometric space and then a canonical homomorphism between the hypergroup and a group
Atanassov’s intuitionistic fuzzy index of hypergroupoids
Get PDFIn this work we introduce the concept of Atanassov’s intuitionistic fuzzy index of a hypergroupoid based on the notion of intuitionistic fuzzy grade of a hypergroupoid. We calculate it for some particular hypergroups, making evident some of its special properties