基于Lukasiewicz蕴涵算子的反向三I算法

三Ⅰ算法是针对模糊推理的FMP与FMT模型的一种新的推理方法。本文针对Lukasiewicz蕴涵算子讨论FMP模型及FMT模型的反向三Ⅰ推理及反向α-三Ⅰ推理，借助该蕴涵算子的性质,给出相应的推理算法。     

基于蕴涵算子θp模糊推理的三I与反向三I算法的约束度分析

研究基于蕴涵算子θp模糊推理的三I算法与反向三I算法的约束度理论, 分析约束度的性质,得到α-三I算法的FMP(FMT)上(下)确界计算公式与α-反向三I算法的FMP(FMT)下(上)确界的计算公式.     

模糊推理的α-三I算法

三I算法是针对模糊推理的FMP与FMT模型的一种新的推理方法。本文借助蕴涵算子的性质，针对满足一定条件的较一般蕴涵算子，建立了FMP与FMT模型的α-三I算法，并讨论了算法的还原性。     

基于剩余蕴涵算子族Lp的三Ⅰ支持算法

研究了基子剩余型蕴涵算子族Lp的模糊推理的三Ⅰ支持算法,给出了FMP模型与FMT模型的三Ⅰ算法的几种计算公式,并讨论了其还原性.     

基于蕴涵算子族L-λ-G的模糊推理三Ⅰ支持算法

提出了基于蕴涵算子族L-λ-G的模糊推理的思想,这将有助于提高推理结果的效果.针对蕴涵算子族L-λ-G给出了模糊推理的FMP模型及FMT模型的三Ⅰ支持算法、α-三Ⅰ支持算法。     

基于蕴涵算子族L-λ-G的模糊推理三I支持算法

提出了基于蕴涵算子族L -λ-G的模糊推理的思想,这将有助于提高推理结果的效果.针对蕴涵算子族L-λ-G 给出了模糊推理的FMP模型及FMT模型的三I支持算法、α-三I支持算法.     

FMT问题的两种三Ⅰ算法及其还原性

进一步研究FMT问题,得到该问题的三Ⅰ算法的一般计算公式,提出该问题的一种新算法三Ⅰ^*算法,给出新算法的一般计算公式,讨论两种算法的还原性问题,明确两种还原性的含义,证明FMT问题的三Ⅰ算法是W－还原的,而三Ⅰ^*算法是Z－还原的。     

模糊推理三Ⅰ约束算法的一般表示

讨论模糊推理三Ⅰ约束算法的表示问题。首先，改进FMP及FMT问题的三Ⅰ约束原则,进而，为使更多的蕴涵算子纳入统一的算法表示之下。基于较弱的条件建立三Ⅰ约束算法的一般表示。如此，现有的三Ⅰ约束算法的统一表示被推广到一种新的形式。     

模糊推理反向三I的$R_L$型约束度分析

研究了基于蕴涵算子RL的模糊推理反向三Ⅰ方法的约束度理论,分析了约束度的性质,得到了一般化的α-反向三Ⅰ模糊取式下确界计算公式与α-反向三Ⅰ模糊拒取式上确界计算公式.     

基于一族蕴涵算子的对偶三I算法

三I算法是一种新的模糊推理方法,是传统的模糊推理方法的修改和补充. 三I表达式取最小值时的最优解算法(即对偶三I算法)是三I算法思想的延伸和完善.本文针对蕴涵算子族Ip,讨论了FMP和FMT问题的对偶三I算法,给出了相应的计算公式,从而也进一步促进了对三I算法的研究.     

Strongly θ-b-continuous functions

Summary We introduce a new class of functions called strongly θ-b-continuous function which is a generalization of both strongly θ-precontinuous functions<span lang=EN-US style='font-size:10.0pt; mso-ansi-language:EN-US'>[16]and strongly θ-semicontinuous functions [7]. Some characterizations and several properties concerning strongly θ-b-continuous functions are obtained.     

Strongly θ-Precontinuous Functions

We introduce a new class of functions called strongly θ-precontinuous functions which is stronger than precontinuous functions and investigate their properties. This revised version was published online in August 2006 with corrections to the Cover Date.     

A note on θ-tightness

In questo lavoro chiariamo il ruolo che la θ-tightness (introdotta dagli autori in [2]) ha nel determinare alcune estensioni di sottoinsiemi di uno spazio topologico.     

Multivariate θ-generalized normal distributions

A new family of continuous multivariate distributions is introduced, generalizing the canonical form of the multivariate normal distribution. The well-known univariate version of this family, as developed by Box, Tiao and Lund, among others, has proven a valuable tool in Bayesian analysis and robustness studies, as well as serving as a unified model for least θ's and maximum likelihood estimates. The purpose of the family introduced here is to extend, to a degree of generality which will permit practical applications, the useful role played by the univariate family to a multidimensional setting.     

Further separation properties of θ-modifications

The investigations in [3] are made more precise by considering not only separation axioms for topological spaces but also those connected with Čech closures. This revised version was published online in June 2006 with corrections to the Cover Date.     

EXPONENTIAL LAW AND θ-CONTINUOUS FUNCTIONS

Abstract

The category θ-Top of topological spaces and θ-continuous functions is not Cartesian closed; but it is known that under certain local property assumptions, the exponential law in θ-Top is fulfilled. We define a functor from θ-Top to the category of H-θ-topological spaces and prove that in this category the exponential law holds without any local property assumptions. We also provide a functor from θ-Top to Katětov's category of filter-merotopic spaces, which is Cartesian closed.     

ON θ-PROXIMITIES AND RELATED f-PROXIMITIES

Abstract

We show that every θ-proximity as defined by V.V. Fedor?uk is an f-proximity which we call a k-proximity. Two related f-proximities are introduced, viz. t- and d-proximities. The smallest and largest members of M_f(X, c) for f=k, d and t are characterised where M_f(X, c) is the family of f-proximities compatible with a given closure space (X, c).     

Chromatic uniqueness of the generalized θ-graph

A generalized θ-graph in a connected graph with 3 paths between a pair of vertices of degree 3. It is shown that any graph having the same chromatic polynomial as a generalized θ-graph, must be isomorphic to the generalized θ-graph.