共查询到20条相似文献,搜索用时 46 毫秒
1.
Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making 总被引:1,自引:0,他引:1
Zeshui Xu 《Fuzzy Optimization and Decision Making》2007,6(2):109-121
Atanassov (1986) defined the notion of intuitionistic fuzzy set, which is a generalization of the notion of Zadeh’ fuzzy set.
In this paper, we first develop some similarity measures of intuitionistic fuzzy sets. Then, we define the notions of positive
ideal intuitionistic fuzzy set and negative ideal intuitionistic fuzzy set. Finally, we apply the similarity measures to multiple
attribute decision making under intuitionistic fuzzy environment. 相似文献
2.
In this note we first define the notions of (weak, strong) implicative hyper K-algebras. Then we show by examples that these notions are different. After that we state and prove some theorems which determine the relationship between these notions and (weak) hyper K-ideals. Also we obtain some relations between these notions and (weak) implicative hyper K-ideals. Finally, we study the implicative hyper K-algebras of order 3, in particular we obtain a relationship between the positive implicative hyper K-algebras and (weak, strong) implicative hyper K-algebras under a simple condition. 相似文献
3.
Intuitionistic fuzzy sets and soft sets are two different soft computing models for representing vagueness and uncertainty. We apply these soft computing models in combination to study vagueness and uncertainty in K-algebras. We first introduce the notion of ${(\in, \in\vee q)}$ -intuitionistic fuzzy K-algebras and discuss some of their properties. Then we introduce intuitionistic fuzzy soft K-algebras and investigate some of their properties. Finally, we introduce ${(\in, \in \vee q)}$ -intuitionistic fuzzy soft K-algebras and present some of their related properties. 相似文献
4.
In this work, we present notions of bipolar anti fuzzy -ideals and bipolar anti fuzzy interior -ideals in hemi-rings. Investigating some of their properties, we characterize hemi-rings by means of positive anti -cut and negative anti -cut. Meanwhile, some results of homomorphisms, anti images and anti pre-images are given to show the rationality of the definitions introduced in the present paper. Also, we define an equivalence relation on bipolar anti fuzzy -ideals. In particular, we investigate translations, extensions and multiplications of bipolar anti fuzzy -ideals. Finally, we present characterizations of h-hemi-regular and h-semi-simple hemi-rings in terms of bipolar anti fuzzy -ideals. 相似文献
5.
A subideal (also called a J-ideal) is an ideal of a B(H)-ideal J. This paper is the sequel to Subideals of Operators where a complete characterization of principal and then finitely generated J-ideals were obtained by first generalizing the 1983 work of Fong and Radjavi who determined which principal K(H)-ideals are also B(H)-ideals. Here we determine which countably generated J-ideals are B(H)-ideals, and in the absence of the continuum hypothesis, which J-ideals with generating sets of cardinality less than the continuum are B(H)-ideals. These and some other results herein are based on the dimension of a related quotient space. We use this to characterize these J-ideals and settle additional questions about subideals. A key property in our investigation turned out to be J-softness of a B(H)-ideal I inside J, that is, IJ =? I, a generalization of a recent notion of softness of B(H)-ideals introduced by Kaftal?CWeiss and earlier exploited for Banach spaces by Mityagin and Pietsch. 相似文献
6.
7.
In this paper, a new class of intuitionistic fuzzy closed sets called intuitionistic fuzzy generalized preregular closed sets (briefly intuitionistic fuzzy gpr-closed sets) and intuitionistic fuzzy generalized preregular open sets (briefly intuitionistic fuzzy gpr-open sets) are introduced and their properties are studied. Further the notion of intuitionistic fuzzy preregular T 1/2-spaces and intuitionistic fuzzy generalized preregular continuity (briefly intuitionistic fuzzy gpr-continuity) are introduced and studied. 相似文献
8.
Intuitionistic fuzzy finite state machines 总被引:1,自引:0,他引:1
Young Bae Jun 《Journal of Applied Mathematics and Computing》2005,17(1-2):109-120
Using the notion of intuitionistic fuzzy sets, the concepts of intuitionistic fuzzy finite state machines (iffsm), intuitionistic successor s, intuitionistic subsystems, intuitionistic submachines, intuitionisticq-twins, and intuitionistic retrievable iffsm are introduce d, and related properties are studied. Relations between intuitionisticq-twins and intuitionisticq-related iffsm are given. A characterization of an intuitionistic retrievable iffsm is provided. 相似文献
9.
In this paper, we characterize k-regularity of semirings and study some important properties of k-regularity of semirings in terms of interval-valued fuzzy k-ideals of semirings. 相似文献
10.
R.R Smith 《Journal of Functional Analysis》1979,32(3):269-271
M-ideals in a commutative Banach algebra A are shown to correspond to certain hermitian central projections in , and thus possess bounded approximate identities. This leads to a new characterization of M-ideals in function algebras. 相似文献
11.
12.
Gunnar Carlsson 《Journal of Pure and Applied Algebra》2008,212(3):550-577
We introduce a notion of derived completion applicable to arbitrary homomorphisms of commutative S-algebras, and work out some of its properties, including invariance results, a spectral sequence proceeding from purely algebraic information to the geometric results, and analysis of relationships with earlier constructions. We also provide some examples. The construction has applications in algebraic K-theory. 相似文献
13.
Intuitionistic fuzzy metric spaces 总被引:8,自引:0,他引:8
Using the idea of intuitionistic fuzzy set due to Atanassov [Intuitionistic fuzzy sets. in: V. Sgurev (Ed.), VII ITKR's Session, Sofia June, 1983; Fuzzy Sets Syst. 20 (1986) 87], we define the notion of intuitionistic fuzzy metric spaces as a natural generalization of fuzzy metric spaces due to George and Veeramani [Fuzzy Sets Syst. 64 (1994) 395] and prove some known results of metric spaces including Baire's theorem and the Uniform limit theorem for intuitionistic fuzzy metric spaces. 相似文献
14.
Muhammad Akram 《Mathematica Slovaca》2009,59(6):719-730
In this paper we apply the concept of interval-valued bifuzzy sets to hemirings. We introduce the notion of interval-valued
bifuzzy left h-ideals of hemirings and investigate some of their properties. Using interval-valued bifuzzy left h-ideals, characterizations of Artinian and Noetherian hemirings are established. 相似文献
15.
Yong Lin Liu Jie Meng Xiao Hong Zhang Zhen Cai Yue 《Southeast Asian Bulletin of Mathematics》2000,24(2):243-253
In this note we define the notions of q-ideals and a-ideals in BCI-algebras. We give several characterizations and the extensive theorems about q-ideals and a-ideals. We show that a non-empty subset of a BCI-algebra is a-ideal if and only if it is both q-ideal and p-ideal. Finally, we give four characterizations of associative BCI-algebras by a-ideals and eight characterizations of quasi-associative BCI-algebras by q-ideals.Supported by Fujian Education Committee Foundation, China.AMS Subject Classification (2000), 03G25, 06F35 相似文献
16.
h-半正则广义直觉模糊duo半环 总被引:1,自引:1,他引:0
通过在半环上引入具有边界值的直觉模糊h-理想和h-双理想,给出了一种广义直觉模糊duo半环,并在半环满足h-半正则性的前提下,对广义直觉模糊duo半环的性质进行了讨论. 相似文献
17.
Xiaohong Zhang 《Mathematica Slovaca》2013,63(4):661-678
The aim of the paper is to investigate the relationship among NMV-algebras, commutative basic algebras and naBL-algebras (i.e., non-associative BL-algebras). First, we introduce the notion of strong NMV-algebra and prove that
- a strong NMV-algebra is a residuated l-groupoid (i.e., a bounded integral commutative residuated lattice-ordered groupoid)
- a residuated l-groupoid is commutative basic algebra if and only if it is a strong NMV-algebra.
18.
In many applied disciplines like computer science, coding theory and formal languages, the use of fuzzified algebraic structures especially ordered semigroups play a remarkable role. In this paper, we introduce a new concept of fuzzy Γ-ideal of an ordered Γ-semigroup G called an (∈, ∈ ?q k )-fuzzy Γ-ideal of G. Fuzzy Γ-ideal of type (∈, ∈ ∨q k ) are the generalization of ordinary fuzzy Γ-ideals of an ordered Γ-semigroup G. A new characterization of ordered Γ-semigroups in terms of an (∈, ∈ ∨q k )-fuzzy Γ-ideal is given. We show that a fuzzy subset λ of an ordered Γ-semigroup G is an (∈, ∈ ∨q k )-fuzzy Γ-ideal of G if and only if U (λ; t) is a Γ-ideal of G for all \(t \in \left( {0,\frac{{1 - k}} {2}} \right]\) . We also investigate some important characterization theorems in terms of this notion. Finally, regular ordered Γ-semigroups are characterized by the properties of their (∈, ∈ ∨q k )-fuzzy Γ-ideals. 相似文献
19.
《International Journal of Approximate Reasoning》2014,55(6):1369-1382
Two basic inference models of fuzzy reasoning are fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT). The Triple I method is a very important method to solve the problems of FMP and FMT. The aim of this paper is to extend the Triple I method of approximate reasoning on Atanassov's intuitionistic fuzzy sets. In the paper, we first investigate the algebra operators' properties on the lattice structure of intuitionistic fuzzy information and provide the unified form of residual implications which indicates the relationship between intuitionistic fuzzy implications and fuzzy implications. Then we present the intuitionistic fuzzy reasoning version of the Triple I principles based on the models of intuitionistic fuzzy modus ponens (IFMP) and intuitionistic fuzzy modus tollens (IFMT) and give the Triple I method of intuitionistic fuzzy reasoning for residual implications. Moreover, we discuss the reductivity of the Triple I methods for IFMP and IFMT. Finally, we propose α-Triple I method of intuitionistic fuzzy reasoning. 相似文献
20.
We introduce a naive notion of a system of parameters for a homologically finite complex over a commutative noetherian local ring and compare it to the system of parameters defined by Christensen. We show that these notions differ in general but that they agree when the complex in question is a DG R-algebra. In this case we also show that the Krull dimension defined in terms of the lengths of such systems of parameters agrees with Krull dimensions defined in terms of certain chains of prime ideals. 相似文献