In this paper, a more general definition of triangular intuitionistic fuzzy number (TIFN) is proposed by removing the `normality' in the definition of intuitionistic fuzzy number. The basic arithmetic operations of generalized triangular intuitionistic fuzzy numbers (GTIFNs) and the notion of -cut sets are defined. Also a nearest interval approximation method is described to approximate a GTIFN...

‎The importance of Problem Solving (PS) has been realized for such a long time that in a direct or indirect way affects our daily lives in many ways‎. ‎Assessment cases appear frequently for PS skills which involve a degree of uncertainty and (or) ambiguity‎. ‎Fuzzy logic‎, ‎due to its nature of characterizing such cases with multiple values‎, ‎offers rich resources for dealing with them‎. ‎On ...

In every field of our real life situations, we deal with a replacement problem, when some items such as machines, medical equipment, military tank, electric bulb etc. or workers need to replace due to their decreased efficiency, failure or break down. To get a more realistic view of a replacement problem, here, we consider that the capital cost ( C ~ ), scrap value or resale value ( S ~ ), main...

The shortest path problem is an important classical network optimization problem which has wide range of application in various fields.In this paper ,algorithms are proposed for the Intuitionistic fuzzy shortest path problem, where the arc length of the network takes imprecise numbers, instead of real numbers namely level  λ triangular LR fuzzy numbers (  λ TLR). Finally an illustrative examp...

In this paper, we present a solution of an arbitrary general fully fuzzy linear systems (FFLS) in the form Ã⊗ x̃ = b̃. Where coefficient matrix à is anm×n fuzzy matrix and all of this system are elements of LR type fuzzy numbers. Our method discuss a general FFLS (square or rectangle fully fuzzy linear systems with trapezoidal or triangular LR fuzzy numbers). To do this, we transform fully fuzzy ...

The decision-making process is a key issue for most manufacturing and services organizations, and forms an essential part of the product design process. Indeed, designers are always confronted with the dilemma of choosing between different alternatives with different parameters, often expressed in fairly vague terms. For this reason, many tools have been proposed offering more and better ways t...

This paper extends the author’s earlier work on the Law of Large Numbers for fuzzy numbers [2] to the case where the fuzzy numbers are of type L-R. Namely, we shall define a class of Archimedean triangular norms in which the equality lim n→∞ Nes(mn − ≤ ηn ≤ mn + = 1, for any > 0, holds for all sequences of fuzzy numbers, ξi = (Mi, α, β)LR, i ∈ N, with twice differentiable and concave shape func...