# Showing papers in "New Mathematics and Natural Computation in 2020"

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TL;DR: This paper introduces the convergence concepts of convergence almost surely (a.s.), convergence in measure, converge in mean, convergence in distribution and convergence uniformly almost surely complex uncertain double sequences.

Abstract: Complex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the convergenc...

14 citations

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TL;DR: Almost convergence concepts of complex uncertain sequences: almost sure convergent, almost convergent in measure, almost Convergent in mean and almost convergence in distribution are defined and relationship among them are discussed.

Abstract: In this paper, we define almost convergence concepts of complex uncertain sequences: almost sure convergent, almost convergent in measure, almost convergent in mean and almost convergent in distrib...

13 citations

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TL;DR: In this article, a fuzzy expert system (FES) was used for the prediction of prostate cancer (PC) using age, prostate specific antigen (PSA), prostate volume (PV), and % Free PSA (%FPSA) was fed as inpu...

Abstract: A fuzzy expert system (FES) for the prediction of prostate cancer (PC) is prescribed in this paper. Age, prostate-specific antigen (PSA), prostate volume (PV) and % Free PSA (%FPSA) are fed as inpu...

9 citations

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TL;DR: A new type of graph with a membership degree (between zero and one) for the vertices and edges so that the membership degree of every edge becomes more than or equals the minimum of the membership degrees of its endpoints is demonstrated, which can play a role in solving many problems which are not solved by fuzzy graph.

Abstract: Rosenfeld [A. Rosenfeld, Fuzzy Graphs, Fuzzy Sets and Their Applications, eds. L. A. Zadeh, K. S. Fu and M. Shimura (Academic Press, New York, 1975), pp. 77–95.] defined the fuzzy relations on the ...

8 citations

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TL;DR: The purpose of this work is to use the concepts of reachability and coreachability maps to provide a solution of a well-known characterization for [Formula: see text]-valued multiset regular languages.

Abstract: The purpose of this work is to use the concepts of reachability and coreachability maps to provide a solution of a well-known characterization for L-valued multiset regular languages. In between, w...

6 citations

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TL;DR: Double sequences of complex uncertain variables defined by Orlicz function are introduced and some of their properties like solidness, symmetricity, completeness, etc. are studied and some inclusion results are proved.

Abstract: In this paper, we introduce double sequences of complex uncertain variables defined by Orlicz function. We study some of their properties like solidness, symmetricity, completeness, etc. and prove ...

5 citations

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TL;DR: Characteristics (parameters) of a fuzzy variable based on a measure, namely, expected value, variance, semi-variance, skewness, kurtosis and semi-kurtosis are introduced and displayed for the determination of optimal portfolios when assets returns are described by triangular or trapezoidal fuzzy variables.

Abstract: Possibility, necessity and credibility measures are used in the literature in order to deal with imprecision. Recently, Yang and Iwamura [L. Yang and K. Iwamura, Applied Mathematical Science 2(46) ...

4 citations

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TL;DR: A method for multi-attribute group decision-making (MAGDM) problems based on these operators was developed, and the operational procedures were explained in detail, and their basic properties such as, idempotency, boundedness, commutatively, monotonicity.

Abstract: Interval-valued Pythagorean fuzzy set is one of the successful extensions of the interval-valued intuitionistic fuzzy set for handling the uncertainties in the data. Under this environment, in this...

4 citations

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Virginia Tech

^{1}TL;DR: A dynamical system of oscillators coupled in a manner to preserve the properties of a percept is crafted, which retains the mutual relationships among processes, forming an operational map isomorphic to a distance matrix that mimics a percept of space-like properties.

Abstract: As put forward by neuroscientists, the mechanisms of consciousness can be elucidated by revealing correlations between neural dynamics and specific conscious percepts. Recently, I have elaborated o...

4 citations

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TL;DR: In many existing methods of linear programming problem (LPP), precise values of parameters have been used but parameters of LPP are imprecise and ambiguous due to incomplete information.

Abstract: In many existing methods of linear programming problem (LPP), precise values of parameters have been used but parameters of LPP are imprecise and ambiguous due to incomplete information. Several ap...

3 citations

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TL;DR: This paper investigates the relationship between various notions of fuzzy boundedness of linear operators in fuzzy normed linear spaces and discusses the fuzzy boundeds of fuzzy c...

Abstract: In this paper, we first investigate the relationship between various notions of fuzzy boundedness of linear operators in fuzzy normed linear spaces. We also discuss the fuzzy boundedness of fuzzy c...

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TL;DR: The fuzzy set theory and fuzzy logic concepts have found great acceptance in social sciences in recent years since they were first developed in engineering and mathematics.

Abstract: Fuzzy set theory and fuzzy logic have been successfully developed in engineering and mathematics. However, these concepts have found great acceptance in social sciences in recent years since they p...

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TL;DR: A new class of fuzzy ideal sets, namely the r-(τi,τj)-θ-generalized fuzzy ideal closed sets, is introduced for fuzzy bitopological spaces in Sostak sense.

Abstract: In this paper, a new class of fuzzy ideal sets, namely the r-(τi,τj)-θ-generalized fuzzy ideal closed sets, is introduced for fuzzy bitopological spaces in Sostak sense. This class falls strictly i...

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TL;DR: The purpose of this paper is to further develop a product of this fuzzy adjacency matrix based on [Formula: see text]-fuzzy graphs and two kinds of Boolean matrix are defined and relation between Normal Boolean matrix, product of adjacencies matrix and 1-level cut Boolean matrix is obtained.

Abstract: It is much more practical to use the t-norm than the minimum in defining the fuzzy graph. Hence, the concept of t-fuzzy graph was introduced by Mordeson et al. in [J. N. Mordeson and S. Mathew, t-n...

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TL;DR: The set of all minimal soft rough sets is proved to be a Poset with the inclusion relation having a GLB and LUB and hence is a lattice and an attempt is made in applying this concepts in medical diagnoses and in analyzing the organizational culture system.

Abstract: Rough sets defined in terms of soft sets play a vital role in decision making problems. Covering-based soft rough sets and modified soft rough sets are some of the recently developing concepts. In ...

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TL;DR: Four new iterative schemes are introduced by modifying the CQ-method with Ishikawa and S-iterations by finding the strong convergence theorems given by the C Q-projection method.

Abstract: In this paper, we introduce four new iterative schemes by modifying the CQ-method with Ishikawa and S-iterations. The strong convergence theorems are given by the CQ-projection method with our modi...

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TL;DR: It is shown that the concepts of soft elementwise ring and soft int-ring of a ring are equivalent and the notions of minimal generating set for a soft int -ideal and soft principal int-ideal are presented.

Abstract: In this paper, the notion of soft elementwise ring is introduced and it is shown that the concepts of soft elementwise ring and soft int-ring of a ring are equivalent. The concept of soft direct su...

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TL;DR: A wet lab algorithm for prediction of visibility under radiation fog by DNA computing based on a concept of similarity based fuzzy reasoning suitable for wet lab implementation, which produces multi valued status which can be linguistically interpreted to match the perception of an expert.

Abstract: In this paper, we propose a wet lab algorithm for prediction of visibility under radiation fog by DNA computing. The model is based on a concept of similarity based fuzzy reasoning suitable for wet...

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TL;DR: The concepts of soft maximal int-ideal and soft irreducible int-Ideal of a ring are introduced and some properties of these notions have been studied.

Abstract: In this paper, the concepts of soft maximal int-ideal and soft irreducible int-ideal of a ring are introduced and some properties of these notions have been studied. Also we point out some facts of...

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TL;DR: In 2015, the United Nations adopted Agenda 2030 and the Sustainable Development Goals (SDGs) in 2015 as discussed by the authors, and all member states adopted the SDGs in their respective countries.

Abstract: All member states of the United Nations adopted Agenda 2030 and the Sustainable Development Goals (SDGs) in 2015

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TL;DR: The purpose of this work is to introduce the concept of fuzzy regular languages (FRL) accepted by fuzzy finite automata, and try to introduced the categorical look of fuzzy languages where the codom...

Abstract: The purpose of this work is to introduce the concept of fuzzy regular languages (FRL) accepted by fuzzy finite automata, and try to introduce the categorical look of fuzzy languages where the codom...

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TL;DR: The aim of this paper is to introduce the concept of soft compact spaces by using the notion of soft open sets and soft open covers, which are called soft [Formula: see text]-compact spaces.

Abstract: The aim of this paper is to introduce the concept of soft compact spaces by using the notion of soft pc-open sets and soft pc-open covers, which we call soft pc-compact spaces. Many characterizatio...

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TL;DR: This work studies the traffic conditions in Hsuehshan tunnel in Taiwan and evaluates through statistics and the government’s policy to improve the road condition of the tunnel.

Abstract: The highway system is an important component of the modern society as it allows an efficient intercity communication. However, with the increase in the number of cars, the traffic congestion become...

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TL;DR: In random experiments, the fact that the sets of events has a structure of a Boolean algebra, i.e. it follows the rules of classical logic, is the main hypothesis of classical probability theory.

Abstract: In random experiments, the fact that the sets of events has a structure of a Boolean algebra, i.e. it follows the rules of classical logic, is the main hypothesis of classical probability theory. B...

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TL;DR: The speculation game is an agent-based toy model to investigate the dynamics of the financial market as discussed by the authors, which has achieved the reproduction of 10 of the well-known stylized facts for financial properties.

Abstract: The speculation game is an agent-based toy model to investigate the dynamics of the financial market. Our model has achieved the reproduction of 10 of the well-known stylized facts for financial ti...

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TL;DR: This paper introduces a new embedding of a graph by considering a minimal zero forcing set of [Formula: see text] and an arbitrary list of maximal forcing chains of this zero forcingSet and gets a comparison between zero forcing sets of agraph by using fuzzy concepts.

Abstract: In this paper, we investigate the fuzzification of zero forcing process. For this, first we introduce a new embedding of a graph G by considering a minimal zero forcing set of G and an arbitrary li...

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TL;DR: The notion of eventful element and eventful set is introduced, and its application is considered in BCI and/or BCK algebras.

Abstract: The notion of eventful element and eventful set is introduced, and its application is considered in BCI and/or BCK algebras. Several properties are investigated, and (positive implicative) ideal in...

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TL;DR: This paper is toward the study of measure of different operators in fuzzy automata theory, which determine the amount of preciseness of given operators associated with an [Formula: see text]-valued subset endowed with an [-valued preorder induced by]-valued transition function of an [/Formula]valued automaton.

Abstract: This paper is toward the study of measure of different operators in fuzzy automata theory, which determine the amount of preciseness of given L-valued subset endowed with an L-valued preorder induc...

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TL;DR: The probability of failure of the components is introduced as a new type of fuzzy number called Gaussian patchy fuzzy number to insert parameters’ uncertainty to model the reliability of the fuzzy system.

Abstract: In this paper, the probability of failure of the components is introduced as a new type of fuzzy numbers called Gaussian patchy fuzzy number to insert parameters’ uncertainty. The reason for the us...

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TL;DR: The concepts of (∧,⊙)-derivation and (→,∨-derivation for BL-algebras are defined and some related results are discussed.

Abstract: In this paper, we defined the concepts of (∧,⊙)-derivation and (→,∨)-derivation for BL-algebras and discuss some related results. We study the connection between these derivations on an BL-algebra ...