K e y w o r d s F u z z y number, Possibility and necessity indices, a-optimal solution, Embedding theorem, Banach space. 1. I N T R O D U C T I O N The concept of fuzzy set was introduced by Zadeh [1]. Since then, many applications of fuzzy sets have been widely developed. One of them is the fuzzy optimization in operations research. The randomness occurring in the optimization problems is cat...

In 1966, (Imai and Iseki, 1966) defined a class of algebras of type (2, 0) named BCK-algebras. At the same time, (Iseki, 1966) generalized another class of algebras of type (2, 0) called BCI-algebras. Hu and Li (1983) introduced the concept of BCH-algebras and gave examples of proper BCH-algebras (Hu and Li, 1985). Neggers and Kim (2001) introduced and investigated a class of algebras, viz., th...

In recent years, Bayesian theory has come to be used in a wide range of fields. the IT field, is enable highly efficient searches, and this also sort unsolicited e-mails. There are many research reports focusing on theory, they aim construct framework for statistical analysis. paper, we propose an approximate selection method models based fuzzy interval data obtained from ordinary real number s...

We prove that an infinite (bounded) involution lattice and even pseudo-Kleene algebra can have any number of congruences between 2 its elements or equalling subsets, regardless whether it has as many ideals subsets. Furthermore, when they at most elements, these lattices algebras be chosen such all their preserve involutions, so reducts. Under the Generalized Continuum Hypothesis, this means id...

Salah satu teknologi yang saat in i sedang populer adalah bersifat otomatis. Sistem otomatis berpengaruh terhadap kehidupan manusia menjadikan aktivitasnya menjadi lebih efektif dan efisien salah satunya dalam pemeliharan ikan Louhan. Tujuan dari penelitian ini membuat Implementasi Akuarium Ikan Louhan Menggunakan Fuzzy Logic . Logika merupakan metode dapat digunakan untuk mengatasi masalah mem...

Abstract Zadeh introduced fuzzy sets to study imprecision in real life after which many generalizations have been developed literature. Fuzzy numbers is the major research area of because its needfulness for modeling qualitative and imprecise continuous transitions. Most time, data involved multi-criteria decision making (MCDM) will be form due deforming criteria. Different methods defining tot...

The paper presents a certain class of the mathematical models diagnostic information granules describing fuzzy symptoms-faults relationship. A retrieval system is described as an application expert system. Symptoms and faults are fuzzy, with some scaling symptom-fault concept pair values. These value pairs can be considered intuitionistic sets for space diagnosed objects. In this article, (n-Sc...

Since Professor L.A. Zadeh published “Fuzzy Set Theory” in the 1960s, theory of fuzzy mathematics has been formally established and developed gradually introduced into work all walks life. At same time, also widely used VR industry selection. In stock strategy, advantages improving unit classification accuracy, screening high-quality stocks, constructing near-perfect investment portfolios conti...

When planning investments, the conditions for further business activities are not always reliably known in advance. Socio-political and natural factors can affect to amount of inflation, cost technical facilities technologies, profits. All these make studying fuzzy modeling investment very important. One methods under uncertainty is using L. Zadeh apparatus logic. The purpose study apply logic ...