Discounted Markov decision processes with fuzzy costs

Salvador De-Jesús-Hernández; Hugo Cruz-Suárez; Raúl Montes-de-Oca

Displaying similar documents to “Discounted Markov decision processes with fuzzy costs”

$L$ -fuzzy ideal degrees in effect algebras

Xiaowei Wei, Fu Gui Shi (2022)

Kybernetika

Similarity:

In this paper, considering $L$ being a completely distributive lattice, we first introduce the concept of $L$ -fuzzy ideal degrees in an effect algebra $E$ , in symbol $𝔇_{e i}$ . Further, we characterize $L$ -fuzzy ideal degrees by cut sets. Then it is shown that an $L$ -fuzzy subset $A$ in $E$ is an $L$ -fuzzy ideal if and only if $𝔇_{e i} (A) = ⊤,$ which can be seen as a generalization of fuzzy ideals. Later, we discuss the relations between $L$ -fuzzy ideals and cut sets ( $L_{β}$ -nested sets and $L_{α}$ -nested sets). Finally, we obtain that...

Generalized convexities related to aggregation operators of fuzzy sets

Susana Díaz, Esteban Induráin, Vladimír Janiš, Juan Vicente Llinares, Susana Montes (2017)

Kybernetika

Similarity:

We analyze the existence of fuzzy sets of a universe that are convex with respect to certain particular classes of fusion operators that merge two fuzzy sets. In addition, we study aggregation operators that preserve various classes of generalized convexity on fuzzy sets. We focus our study on fuzzy subsets of the real line, so that given a mapping $F : [0, 1] \times [0, 1] \to [0, 1]$ , a fuzzy subset, say $X$ , of the real line is said to be $F$ -convex if for any $x, y, z \in ℝ$ such that $x \leq y \leq z$ , it holds that $μ_{X} (y) \geq F (μ_{X} (x), μ_{X} (z))$ , where $μ_{X} : ℝ \to [0, 1]$ stands here for the...

Minimizing and maximizing a linear objective function under a fuzzy $max - *$ relational equation and an inequality constraint

Zofia Matusiewicz (2022)

Kybernetika

Similarity:

This paper provides an extension of results connected with the problem of the optimization of a linear objective function subject to $max - *$ fuzzy relational equations and an inequality constraint, where $*$ is an operation. This research is important because the knowledge and the algorithms presented in the paper can be used in various optimization processes. Previous articles describe an important problem of minimizing a linear objective function under a fuzzy $max - *$ relational equation and an...

Hydrological applications of a model-based approach to fuzzy set membership functions

Chleboun, Jan, Runcziková, Judita

Similarity:

Since the common approach to defining membership functions of fuzzy numbers is rather subjective, another, more objective method is proposed. It is applicable in situations where two models, say $M_{1}$ and $M_{2}$ , share the same uncertain input parameter $p$ . Model $M_{1}$ is used to assess the fuzziness of $p$ , whereas the goal is to assess the fuzziness of the $p$ -dependent output of model $M_{2}$ . Simple examples are presented to illustrate the proposed approach.

$R_{0}$ and $R_{1}$ axioms in fuzzy topology

Z. Petrićević (1989)

Matematički Vesnik

Similarity:

Tolerance problems for generalized eigenvectors of interval fuzzy matrices

Martin Gavalec, Helena Myšková, Ján Plavka, Daniela Ponce (2022)

Kybernetika

Similarity:

Fuzzy algebra is a special type of algebraic structure in which classical addition and multiplication are replaced by maximum and minimum (denoted $\oplus$ and $\otimes$ , respectively). The eigenproblem is the search for a vector $x$ (an eigenvector) and a constant $λ$ (an eigenvalue) such that $A \otimes x = λ \otimes x$ , where $A$ is a given matrix. This paper investigates a generalization of the eigenproblem in fuzzy algebra. We solve the equation $A \otimes x = λ \otimes B \otimes x$ with given matrices $A, B$ and unknown constant $λ$ and vector $x$ . Generalized eigenvectors...

Convex $(L, M)$ -fuzzy remote neighborhood operators

Hu Zhao, Li-Yan Jia, Gui-Xiu Chen (2024)

Kybernetika

Similarity:

In this paper, two kinds of remote neighborhood operators in $(L, M)$ -fuzzy convex spaces are proposed, which are called convex $(L, M)$ -fuzzy remote neighborhood operators. It is proved that these two kinds of convex $(L, M)$ -fuzzy remote neighborhood operators can be used to characterize $(L, M)$ -fuzzy convex structures. In addition, the lattice structures of two kinds of convex $(L, M)$ -fuzzy remote neighborhood operators are also given.

Conditional distributivity of overlap functions over uninorms with continuous underlying operators

Hui Liu, Wenle Li (2024)

Kybernetika

Similarity:

The investigations of conditional distributivity are encouraged by distributive logical connectives and their generalizations used in fuzzy set theory and were brought into focus by Klement in the closing session of Linzs 2000. This paper is mainly devoted to characterizing all pairs $(O, F)$ of aggregation functions that are satisfying conditional distributivity laws, where $O$ is an overlap function, and $F$ is a continuous t-conorm or a uninorm with continuous underlying operators.

Properties of fuzzy relations powers

Józef Drewniak, Barbara Pȩkala (2007)

Kybernetika

Similarity:

Properties of $sup$ - $*$ compositions of fuzzy relations were first examined in Goguen [8] and next discussed by many authors. Power sequence of fuzzy relations was mainly considered in the case of matrices of fuzzy relation on a finite set. We consider $sup$ - $*$ powers of fuzzy relations under diverse assumptions about $*$ operation. At first, we remind fundamental properties of $sup$ - $*$ composition. Then, we introduce some manipulations on relation powers. Next, the closure and interior of fuzzy relations...