This paper focuses on the robustness problem of full implication triple implication inference method for fuzzy reasoning. First of all, based on strong regular implication, the weighted logic metric for measuring distance between two fuzzy sets is proposed. Besides, under this metric, some robustness results of the triple implication method are obtained, which demonstrates that the triple impli...

Establishing the semantic similarity of information is an integral part process solving any retrieval tasks, including tasks related to big data processing, discovery web services, categorization and classification information, etc. The special functions determine quantitative indicators degree allow ranking found on its proximity purpose or search request/template. Forming such measures should...

In this work, we shall present some novel process to measure the similarity between picture fuzzy sets. Firstly, we adopt the concept of intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets and picture fuzzy sets. Secondly, we develop some similarity measures between picture fuzzy sets, such as, cosine similarity measure, weighted cosine similarity measure, set-theoretic similar...

Probabilistic Soft Logic (PSL) is a recently developed framework for probabilistic logic. We use PSL to combine logical and distributional representations of natural-language meaning, where distributional information is represented in the form of weighted inference rules. We apply this framework to the task of Semantic Textual Similarity (STS) (i.e. judging the semantic similarity of naturallan...

The paper presents the correlation and correlation coefficient of single-valued neutrosophic sets (SVNSs) based on the extension of the correlation of intuitionistic fuzzy sets and demonstrates that the cosine similarity measure is a special case of the correlation coefficient in SVNS. Then a decision-making method is proposed by the use of the weighted correlation coefficient or the weighted c...

In this paper, the weighted tangent similarity measure of fuzzy sets is proposed and its properties are studied. The concept of the weighted tangent similarity measure of fuzzy sets is a decision making tool which is characterized by the degree of membership function, degree of non-membership function (sum of this two components is equal to one). Finally, using this proposed method, an applicat...

A tree similarity algorithm for match-making of agents in e-business environments is presented. Product/service descriptions of seller and buyer agents are represented as nodelabelled, arc-labelled, arc-weighted trees. A similarity algorithm for such trees is developed as the basis for semantic match-making in a virtual marketplace. The trees are exchanged using a serialization in Object-Orient...

This paper describes the research carried out within the framework of the Ecological Economical Zoning of Minas Gerais (ZEE-MG) to model vegetation vulnerability derived by a number of spatial inference methods. Methods based on weighted overlay, fuzzy logic, and neural networks were compared in terms of visual similarity between maps, the degree of restrictiveness concerning vulnerability, and...