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This paper presents a summarized characterization of embedded type-1 fuzzy sets (ET1FS) by using the classical concept of convex combination given by Zadeh. ET1FSs are important when defining the centroid of an interval-valued fuzzy set (IVFS) and some type-reduction methods proposed in the literature. We will show that any ET1FS of an IVFS, with no assumption whatsoever about the universal set (either...
This research works considered how fuzzy logic and Dempster-Shafer theory can be applied for the sepak takraw game - for addressing uncertainty in kicking range of the ball. Uncertainty happens due to lack of knowledge or unpredictable factors. The salient aspect of the approach is the integration within a Tsukamoto's fuzzy reasoning and inferences for evidential reasoning based on Dempster-Shafer...
This paper previews the literature on megaprojects contingency determination techniques. Project cost estimate has two components, the baseline estimate and contingency estimate. Sum of these two estimates forms an initial cost estimate for the project. Contingency cost is added to make provision for uncertainties. Final project cost often exceeds the initial cost estimate. Similarly, final project...
In this paper, the ability predicates are set up for the system's functional unit, and influence rules are built for dependent relationship in the system. With the mathematical relationship between ability indexes and weights of predicates, the factors with certain capability, uncertain performance, certain relationships, and uncertain influence in complex system are integrated together. Based on...
In this paper we propose a new resolution approach for automated reasoning in artificial intelligence. the general form a-linear resolution method is established in lattice-valued first-order logic system LF(X) based on lattice implication algebra. the soundness theorem is given in LF(X). by using lift lemma, the weak completeness theorem is also investigated in LF(X). This method is to provide a...
The procedure for self-regulated learning ability evaluation inevitably involves human being's subjective judgments and uncertainties. in order to model these uncertainties, this paper presents an interval evidential reasoning (IER) approach for autonomous learning ability assessment, which uses the analytical evidential reasoning (ER) algorithm to aggregate all evidence simultaneously. Two pairs...
The paper presents a general expression of an interval-valued intuitionistic fuzzy coimplication generated by interval-valued aggregation function acting on a pair of mutual dual functions, named interval-valued fuzzy implications and coimplications. We analyse under which conditions such connectives preserve the main properties of intuitionistic fuzzy implications. In addition, interpretations of...
In this paper, The project is based on the network information security research foundation, to the public opinion surveillance and early warning research as the breakthrough point, in view of the network public opinion situation change of complexity and diversity, especially the network information uncertainty and fuzziness, constructs a fuzzy Bayesian network model to solve the public opinion situation...
This paper proposes a novel fuzzy evidential rule-based (FERB) system to represent uncertain expert knowledge. The fuzzy evidential reasoning framework is introduced to model epistemic uncertainties including nonspecificity, vagueness, as well as local and global ignorance in the knowledge base. A computationally efficient formulation of the FERB system using an uncertain IF-THEN rule matrix is presented...
This work introduces the Boolean (quotient) lattice, an element of whom is the union of countable (closed) intervals on the real line. It follows that is a lattice implication algebra (LIA), the latter is an established framework for reasoning under uncertainty. It is illustrated in how fuzzy lattice reasoning (FLR) techniques, for tunable decision-making, can be extended to lattice-valued logic....
Decision making in the information age is becoming increasingly complex. One of the most important indicators of decision-making complexity is fuzziness. Fuzzy Description Logics are logics which can deal with fuzzy knowledge. A relatively important amount of work has been carried out in the last years, which makes fuzzy Description Logics systemically theoretical and open to be extended with several...
Let G= (V , E) be a graph. We call X(⊆ E(G)) an edge subversion strategy of G if the closed neighborhood of X is deleted from G . The survival subgraph is denoted byG / X . An edge subversion strategy X is called an edge-cut-strategy of G if G / X is disconnected, or is a single vertex, or is empty. The edge-neighbor-scattering number (ENS) of G is defined to be ENS(G)= max{ω(G/X ) − |X|}, where X...
Expert system has been widely used since it was created as early as 1970s. One of the challenges that expert systems faced is to deal with uncertain information. Even though there are many uncertainty management approaches which can deal with problems of different types, the term uncertain information is not clearly defined. This paper reviews some of the uncertainty management in order to highlight,...
By applying the theory of planar dynamical systems, we investigate the existence of bell and anti-bell solitary wave solutions, kink and anti-kink solitary wave solutions, periodic wave solutions to the Rangwala-Rao equation. With the undetermined coefficient method, we obtain the representations to three exact explicit solitary wave solutions
In this paper, first we redefine a asymmetry indicator of fuzzy relations. Meanwhile, we present the degree description of a condition proposed by Peng et al. Then we mainly investigate the relationships between some transitivity-related indicators, particularly between those of T-transitivity, negative S-transitivity, T-S-semitransitivity and T-S-Ferrers property. With our research, some work done...
Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In this paper, we first recall several operations on soft sets introduced by Maji et al. in a previous paper. Furthermore, we give some new operations such as the product, the anty-product of two soft sets, the inverse, the image and the preimage of a soft set. Moreover, we obtain the basic...
Bringing sensor- and context-awareness to the Web promises to open new, tremendous business opportunities. However, context-awareness involves difficult problems such as modeling social / human affairs (e.g. law, personal preferences, etc.), handling incomplete information, and managing uncertainty of sensor data. We argue that fully-fledged, Semantic-Web-style reasoning in presence of uncertainty...
Dempster-Shafer evidence theory is very important in the fields of information fusion and decision making. However, it always brings high computational cost when the frames of discernments to deal with become large. To reduce the heavy computational load involved in many rules of combinations, the approximation of a general belief function is needed. In this paper we present a new general principle...
This paper presents a similarity measure for interval type-2 fuzzy sets based on the intersection of the footprint of uncertainty. We also established the closed-form of the proposed similarity measures for Gaussian interval type-2 fuzzy sets with uncertain standard deviation. Numerical examples demonstrate the use of the similarity measures and the quality of the numerical scheme.
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