*Correspondence: [email protected] School of Mathematics Science, Liaocheng University, Liaocheng, Shandong 252059, China Abstract In order to generalize the notions of a (∈,∈ ∨q)-fuzzy subring and various (∈,∈ ∨q)-fuzzy ideals of a ring, a (λ,μ)-fuzzy subring and a (λ,μ)-fuzzy ideal of a ring are defined. The concepts of (λ,μ)-fuzzy semiprime, prime, semiprimary and primary ideals are introdu...

The notions of intuitionistic fuzzy h-ideal and normal intuitionistic fuzzy h-ideal in Γ-hemiring are introduced and some of the basic properties of these ideals are investigated. Cartesian product of intuitionistic fuzzy h-ideals is also defined. Finally a characterization of intuitionistic fuzzy h-ideals in terms of fuzzy relations is obtained. Keywords—Γ-hemiring, fuzzy h-ideal, normal, cart...

Based on features of distance education and its disadvantages in terms of learning evaluation, this study uses Analytic Hierarchy Process (AHP) and fuzzy mathematics theory to study distance education. First, an electric file is generated for each learner. Then a practical multi-hierarchy evaluation model is built based on AHP. Finally, evaluation of on-line education is done based on informati...

Housing finance is a nontraditional field where actuarial expertise could be applied fruitfully. The development of mortgage instruments requires the application of financial mathematics, while the evaluation and management of the financial risks to which borrowers and lenders are exposed require a knowledge of insurance principles. This paper splits the financial costs of home ownership into s...

In this paper ,we fuzzify the new class of algebraic structure introduced by Kim[5].In this fuzzification(called fuzzy KS-semigroups),we introduce the notions of fuzzy sub KS-semigroups,fuzzy KS-ideal,fuzzy KS-p-ideal and investigate some of their related properties.The purpose of this study is to implement the fuzzy set theory and ideal theory in the KS-semigroups.This fuzzification leads to d...

purpose: this study wants to find any relationship between the numbers of purchase and the income the customer brings to the company. the attempt is to find those customers who buy more than one life insurance policy and represent the signs of good payments at the same time by the help of data mining tools. design/ methodology/ approach: the approach of this research is to use data mining tools...

It has been twenty years since DeWit (1982) first applied fuzzy logic (FL) to insurance. That article sought to quantify the fuzziness in underwriting. Since then, the universe of discourse has expanded considerably and now also includes FL applications involving classification, projected liabilities, future and present values, pricing, asset allocations and cash flows, and investments. This ar...

In nature as well as otherwise there are what we can call deterministic and non-deterministic phenomena. Non-deterministic ones attract more challenges in scientific study. When the patterns of occurrence of non-deterministic phenomena are stable in their occurrence, their study was taken up in statistics. However, in real world, there is a large variety of vague phenomena, imprecise concepts a...

Our goal is to illustrate the typical life cycle of a fuzzy knowledge-based model, starting from its development, testing, optimization, and deployment, and ending with the maintenance of its knowledge base. We illustrate this process within the context of an underwriting insurance application. First we define some key concepts of soft computing models and discuss some design tradeoffs that mus...