Fuzzy Information and Engineering

Venkata Subba Reddy, Poli

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.12.001

AbstractMany theories are developed based on probability to deal with incomplete information. The fuzzy logic deals with belief rather than likelihood (probability). Zadeh first defined fuzzy set as a single membership function. The two fold fuzzy sets with two membership functions will give more evidence than a single membership one. Therefore there is need of fuzzy logic with two membership functions. In this paper, The fuzzy set is defined with two membership functions “Belief” and “Disbelief”. The fuzzy inference and fuzzy reasoning are studied for “a two fold fuzzy set”. The fuzzy certainty factor (FCF) is defined as a single membership function by taking difference between “ Belief” and “ Disbelief ”. The quantification of fuzzy truth variables are studied for “a two fold fuzzy set”. The medical expert system shell EMYCIN is given as an application of “a two fold fuzzy set”.

Yang, Xiao-bin; Yang, Xiao-peng; Hayat, Khizar

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.12.002

AbstractIn this paper, max-min fuzzy relation inequalities are applied to describe a BitTorrent-like Peer-to-Peer file sharing system. In order to decrease the network congestion under some fixed priority grade of the terminals, we define concept of lexicographic solution in such system. It is found that each minimal solution of max-min fuzzy relation inequalities happen to be a lexicographic solution. Moreover, the lexicographic solution set is exactly the minimal solution set. Numerical example is given to illustrate our results. At last, for the addition-min fuzzy relation inequalities, we provide a guess, trying to describe the relation between its lexicographic solution set and minimal solution set.

Hila, Kostaq; Naka, Krisanthi

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.12.003

AbstractIn this paper, we inquire further into the properties on some kind fuzzy hyperideals and we study the hyperrings via -fuzzy hyperideals. By means of the use of a triangular norm , we define, characterize and study the -fuzzy left and right hyperideals, -fuzzy quasi-hyperideal and bi-hyperideal in hyperrings and some related properties are investigated. Regular hyperrings are characterized in terms of -fuzzy quasi-hyperideal and -fuzzy bi-hyperideal.

Jana, Chiranjibe; Pal, Madhumangal

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.05.002

AbstractOn the basis of cut sets of the grade of membership of fuzzy point to belongingness , or quasi-coincident , or belongingness and quasi-coincident, or belongingness or quasi-coincident to an intuitionistic fuzzy set of , an -intuitionistic fuzzy ideal of is introduced by applying the Lukasiewicz -valued logic, where and . It is shown that an intuitionistic fuzzy set of is an (or or )-intuitionistic fuzzy ideal of if and only if denote an intuitionistic fuzzy ideal with thresholds (or or ) of respectively. It is observed that denote an (or or )-intuitionistic fuzzy ideal of if and only if for any (or or ), then served as fuzzy ideal of respectively. It provided that an intuitiostic fuzzy set is an intuitionistic fuzzy ideal of with thresholds if and only if for any , then the cut set appear as fuzzy ideal of .

Neamatollahi, E.; Vafabakhshi, J.; Jahansuz, M.R.; Sharifzadeh, F.

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.12.004

AbstractFuzzy Systems provide a framework for integrating database management systems and fuzzy logic in order to improve the decision-making process. In this study, fuzzy system was used for achieving the best cropping pattern in Agriculture. It is crucial to Integrate ecological principles with economic principles to determine optimum models. Four main objectives defined: maximization of net income of farmers, minimizing the amount of water used in agriculture, minimizing the use of chemical fertilizers and chemical pesticides. Different scenarios were defined: single-objective scenarios, double-objective scenarios, triple-objective scenarios and quadruple-objective scenarios. Finally, four proposed cropping patterns in agricultural and horticultural sectors are evaluated. The results clearly demonstrated that the current cropping pattern needed to be changed, the proposed cropping patterns has put ecological and economic principles both in a maximum optimized level together which is due to the use of the fuzzy system.

Velásquez, Ricardo M. Arias; Lara, Jennifer V. Mejia

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.12.005

AbstractPower transformers are the most critical part of power electrical system, distribution and transmission grid. The oil and the insulation system (paper properties) degradation have many chemicals inside them, they are the result of an initial problem that can be predicted. The research has established the intelligent diagnosis system based on principal component analysis (PCA) and adaptive decision system based on fuzzy logic permits to realize a dissolved gas analysis (DGA) to predict incipient fault diagnosis by different methods, to obtain deterioration rates and health index, besides it allows to analyze the degree of polymerization (DP) for the remaining life of the equipment. The classification accuracy of the proposed method with PCA and fuzzy logic intelligent system is 97.2% for normal equipment and 98.13% for failure events. The proposed method is quite interesting for the readers and the concern researchers in the area of fuzzy mathematics and power transformers.

Varma, Gayathri; John, Sunil Jacob

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.12.006

AbstractThis paper extends the study of multi-fuzzy rough sets using an implicator and a continuous t-norm and thus introduces multi-fuzzy rough sets based on fuzzy logical connectives. In this constructive approach, a pair of lower and upper approximation operators determined by an implicator and a triangular norm is defined. The fundamental properties of these approximation operators are examined. Connections between multi-fuzzy relations and the newly constructed multi-fuzzy rough approximation operators are also established. The theory of multi-fuzzy rough sets is analysed using an operator oriented view in the later sections. The lower and upper approximation operators are characterized by axioms. Various axiom sets of lower and upper multi-fuzzy set theoretic operators guarantee the existence of different types of multi-fuzzy relations which produce the same operators.

Nasseri, S.H.

2017 Fuzzy Information and Engineering

doi: 10.1016/j.fiae.2017.12.007