A ternary semigroup is a nonempty set together with a ternary multiplication which is associative. Any semigroup can be reduced to a ternary semigroup but a ternary semigroup does not necessarily reduce to a semigroup. The notion of fuzzy sets was introduced by Zadeh in 1965 and that of rough sets by Pawlak in 1982. Applications of the fuzzy set theory and rough set theory have been found in va...

Many problems of practical interest can be modeled and solved by using graph algorithms. In general, graph theory has a wide range of applications in diverse fields. In this paper, the intuitionistic fuzzy organizational and neural network models, intuitionistic fuzzy neurons in medical diagnosis, intuitionistic fuzzy digraphs in vulnerability assessment of gas pipeline networks, and intuitioni...

The Fuzzy Logic and the Fuzzy Control approach is an important Artificial Intelligence technique, which allows designing and developing “human-thinking” based, intelligent systems or applications that employ effective mathematical calculations to solve real-world based problems. At this point, the related technique is widely used by scientists, researchers and engineers in different disciplines...

Fuzzy controllers with variable universe of discourse (VUD) have been applied in many fields of intelligent controlling because of their high-accuracy performance. This paper provides a lookup table method to design backing-up fuzzy controllers based on VUD. By setting a set of random start points, input–output data pairs are obtained using test-driving method. One data pair defines one fuzzy r...

The field of Fuzzy Control have enjoyed tremendous success in the last decade, with both theoretical and industrial developments being introduced at an increasing rateI. However, fuzzy control is just one application of Soft Computing methods in general, and Fuzzy Sets theory in particular. This principled approach to approximate reasoning is not limited only to control problems, but is useful ...

One of the important fields in statistics is testing hypothesis of correlation coefficient. The extension of the idea of testing correlation to fuzzy hypothesis is of great interesting. In this study, we examined the use of fuzzy hypothesis testing approach for the Sequential Probability Ratio Test (SPRT) of correlation coefficient. Use of fuzzy hypothesis testing for correlation coefficient wi...

In thispaper a reviewof type-2 fuzzy logic applications inpattern recognition, classificationandclustering problems is presented. Recently, type-2 fuzzy logic has gained popularity in a wide range of applications due to its ability tohandle higher degrees of uncertainty. In particular, therehavebeen recent applications of type-2 fuzzy logic in the fields of pattern recognition, classification a...

The Shortest path problem is a classical network optimisation problem which has wide range of applications in various fields. In this work, we study the task of finding the shortest path in fuzzy weighted graph (network) i.e., vertices remains crisp, but the edge weights will be of fuzzy numbers. It has been proposed to present new algorithms for finding the shortest path in fuzzy sense where i...

Fuzzy set theory has much application in different fields; therefore several scholars are working in this area. In fuzzy set theory the most important topic for research is aggregation operators. Therefore in this notes we present the concept of Pythagorean fuzzy ordered weighted geometric aggregation operator, and also discuss many basic and important properties of the propose operator. At the...

Following the development of fuzzy logic theory by Lotfi Zadeh, its applications were investigated by researchers in different fields. Presenting and working with uncertain data is a complex problem. To solve for such a complex problem, the structure of relationships and operators dependent on such relationships must be repaired. The fuzzy database has integrity limitations including data depen...